Dark energy exists even if no actual particle or other form of stuff is around. It permeates the Universe, but doesn’t clump like ordinary matter. The density of dark energy is the same everywhere—it can be no denser in one region than another.
Does regular energy have density? Gah, I am confused. I cannot remember whether light is an energy or not.
Kinetic energy is definitely a property of certain objects, so it is not evenly distributed.
I really may be mixing different definitions of energy though.

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Brian