Nikon D4 has a
16.0MP Full frame (36 x 23.9 mm ) sized CMOS sensor and features Expeed 3 processor. On the other hand, Nikon D1X has a
5.0MP APS-C (23.7 x 15.5 mm ) sized CCD sensor .
Nikon D4's sensor provides 11MP more than Nikon D1X's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the D4 and D1X sensor size comparison.
As seen above, Nikon D4 has a 2.3x Larger sensor area than Nikon D1X. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.