Olympus E-M10 IV has a 20.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic VIII processor. On the other hand, Olympus E-410 has a 10.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features TruePic III processor.
Olympus E-M10 IV's sensor provides 10MP more than Olympus E-410'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 E-M10 IV and E-410 sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus E-M10 IV and Olympus E-410 Cameras
Olympus E-M10 IV and Olympus E-410 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.