Does this mean that lots of 3:30 minutes 1080p videos could be compressed into 4kb? EDIT: We can be generous and say 40kb for sake of adding more colours / etc.
The Kolmogorov Complexity of a video (or any other data) is the size of the shortest program which outputs that video then halts. This 4k executable is similar in spirit, but also follows strict rules about efficiency: Kolmogorov complexity places no time limits on that shortest program, whereas this program must output pixels fast enough to make the video realtime.