Olympus TG-820 iHS has a 12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor and features TruePic VI processor. On the other hand, Panasonic ZS40 has a 18.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor and features Venus Engine processor.
Panasonic ZS40's sensor provides 6MP more than Olympus TG-820 iHS'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 TG-820 iHS and ZS40 sensor size comparison.
Olympus TG-820 iHS and Panasonic ZS40 have sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Olympus TG-820 iHS has 52% larger pixel area compared to Panasonic ZS40, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.