And there is no correlation (at least not a linear one--we just don't know yet) between number of genes and organismal complexity.
In fact the opposite seems to be true. Organisms with the fewer genes (up to a point) are the more advanced. What seems to show greater advance and greater complexity is not the number of genes or the size of the genome, but the amount of non-coding DNA in the genome. In fact, mammals have the most non-coding DNA of any species. The higher species achieve complexity through intricate programming designed to reuse genes for the manufacture of different proteins.