The USA power usage is actually closer to 4x10^15 W-hr per year, not per day. Source: http://www.eia.gov/state/seds/sep_sum/html/pdf/sum_btu_1.pdf ; 1 btu is 10^3 joules so 10^5 tbtu = 10^19 j ~= 4x10^15 W*hr. So your land coverage requirement is off by a factor of a few hundred.
For battery space, the same factor of a few hundred still applies. Also I'm not sure where you looked up the volume of the Trump tower but wikipedia claims a floor area of 240,000 m^2 and I doubt people can walk in an area a foot tall. With a more realistic ceiling height of 3m, you'd be off by another factor of 10 there.
--> Closer to 1/1000 of land area for coverage and 100 trump towers for storage.
Your claim on it taking more energy to make a solar panel than it produces is likely untrue, but I don't have enough scientific background to quantitatively refute it. (http://www.nrel.gov/docs/fy99osti/24619.pdf claims a breakeven period of 2-4 years)