I've got an image 4,200 x 4,200 pixels. I want to have it printed off as the biggest poster size I can get. How do I calculate what the largest size would be before I get pixelation or fuzziness. It's a very detailed image so it needs to retain the quality. Below is a link if that provides any details I've excluded.
https://upload.wikimedia.org/wikipedia/commons/e/e7/Observable_universe_logarithmic_illustration.png