It's not so much the size of the image, it's more a question of how much memory are you packing. Depending. The optimum color output usually is obtained by printing at no less than a 4:1 ratio of input resolution to output resolution. Using an RGB bitmap at 150ppi and printing at 720dpi, or 75ppi ath 360dpi, or whatever, with a bitmap rendering intent of 'Perceptual' will usually render result as close to what you see is what you get as you're going to get without taking a deep dive into the world of the radical coloristas.
This rule of thumb should work just fine for a mere 42"x42" output.