In this study, we perform a systematic analysis of evolutionary forces (i.e., mutational bias and natural selection) that shape the codon usage bias of human genes encoding for different structural and functional variants of proteins. Well-structured proteins are expected to be more under control by natural selection than intrinsically disordered proteins because one or few mutations (even synonymous) in the genes can result in a protein that no longer folds correctly. On the contrary, intrinsically disordered proteins are generally thought to evolve more rapidly than well-folded proteins, primarily attributed to relaxed purifying natural selection due to the lack of structural constraints. Using different genetic tools, we find compelling evidence that intrinsically disordered proteins are the variant of human proteins on which both mutational bias and natural selection act more effectively, corroborating their essential role for evolutionary adaptability and protein evolvability. We speculate that intrinsically disordered proteins have a high tolerance to mutations (both neutral and adaptive) but also a selective propensity to preserve their structural disorder, i.e., flexibility and conformational dynamics under physiological conditions. Additionally, we confirm not only that intrinsically disordered proteins are preferentially encoded by GC-rich genes, but also that they are characterized by the highest fraction of CpG-sites in the sequences, implying a higher susceptibility to methylation resulting in C-T transition mutations. Our results provide new insight about protein evolution and human genetic diseases identifying intrinsically disordered proteins as reservoirs for evolutionary innovations.