What is the name of this kind of soft, intense, cinematic boom?
If it has no name, how could I reproduce it with any electronic music software?
That sound you are referring to is the sound of a distant firework exploding.
That's a common low kickdrum hit, softened slightly to a nice, low thud. Most importantly though, some small, delayed ("gated") reverb has been added to give it that empty feel. Very satisfying but easily reproducible.
I'm not sure what I'd call it. If I was forced to categorize it, I'd call it a "soft-kick boom" or maybe "gated kick-drop" or "soft kick drop" as it has that big-drop feel but is still quite soft with the extended release being supplied by the reverb.
Simple to reproduce:
That's it really.