Step 1: Concept
The total magnification of a compound microscope is the product of the individual magnifications of the lens systems.
Step 2: Meaning
The objective lens produces a primary magnified image, which is then further magnified by the eyepiece (ocular lens).
Step 3: Analysis
Given Objective Power = 40X and Eyepiece Power = 10X. Total Magnification = $40 \times 10$.
Step 4: Conclusion
The overall magnification is 400X.
Final Answer: (D)