Time, by most conceivable measures is simultaneously finite (we all have a terminal illness called "life") and infinite - in that what takes place "in the dash" of your headstone represents infinite possibilities and a near infinite number of "moments."
The universe is approximately 13.4 billion years old - a nearly inconceivable span of time when thinking of the artificial construct of "earth years." That said, the universe is vastly older than that when you consider the division of time into seconds, microsceconds, nanoseconds, femtoseconds, and the base unit of "Planck lengths." In terms of scale magnitudes, the universe's age is 60 orders of magnitude greater than a single Planck length of time. Of course even the Planck length can be infinitely subdivided, so essentially there is an infinite amount of time within any specific duration.
Consider this amazing graphical representation of the age of the universe and the inconspicuous blip our lifespans represent...
Yet, on the converse, despite our short span, our decades of life, consciousness, actions and meaning are nearly infinitely longer than the origins of the universe...
Physics models of the origins of the universe suggest that as much may have happened in the first nanosecond of the universe as in the billions of years since. All this to suggest my main ongoing thesis about time, specifically, that "the value of an increment of time is not related to its duration."
Our solar system centered, second/minute/hour/day/week/month/year human view of time carries all kinds of bias. Arbitrary elliptical circuits of the star we call the sun suggest an important tick on the yardstick of time... but what about the mayfly whose tenure on earth never sees a sunset much less a solar circuit? What about a Bristlecone pine with a lifespan of 5,000+ years. Are sunrises and sunsets like a strobelight? To the Bristelcone, is the birth, growth and death of other trees like the surge and collapse of an unwatered bean sprout? What about an entity with a lifespan of a "google" (10^100 years)? Would the universe's expansions and contractions (if it actually contracts) look like the blips of a firefly?
Time, at least for us humans is not made of seconds or months or years or eons. Time is made of memories and the rest doesn't matter. Much like time follows in the wake of space in the expansion of the universe, so too does time follow in the wake of memories created in our brain. Time is made of moments: more moments equals more memories equals more time.
Perhaps Seneca had it best oh-so-short-ago:
“It is not that we have a short time to live, but that we waste a lot of it. Life is long enough, and a sufficiently generous amount has been given to us for the highest achievements if it were all well invested. But when it is wasted in heedless luxury and spent on no good activity, we are forced at last by death’s final constraint to realize that it has passed away before we knew it was passing. So it is: we are not given a short life but we make it short, and we are not ill-supplied but wasteful of it… Life is long if you know how to use it.” Seneca