This is unrelated to my original point, but... A quick search found this, though it'd be disingenuous to say that neuron connections represent storage space. On one hand, there is plenty of space to store information within the biological contents of each neuron (Receptor count, exoskeleton structure, etc), all of which represent state information and affect each neuron's function. On the other, scientists still don't have much clue what information is redundant and what is essential. I'd take 4 terabytes with a grain of salt. The rest of your comment is just philosophy and speculations, neither of which I'm interested in discussing at this moment...Space: the human brain is roughly 4tb (forgot source, I'm sure a quick google will bring one up).
Huh, maybe I'm wrong. Nonetheless the human brain is imperfect in the way we don't have absolute control over it. You can't willingly think "Man, this right here is perfect. I want to remember this exact scene perfectly." We've almost got our own AI, that deletes what it thinks it doesn't need (as deemed by evolution) and remembers what it thinks is key to our survival and success in reproduction (as deemed by evolution). How cool would it be to truly access the full potential and functionality of every bit of our brain the way we can manipulate the root files of a computer? Again though, are we still 'us' if we can do that?