No, a non-profit is one in which there are no shareholders. The non-profit entity can own a lot and be extremely successful and wealthy, but it cannot give that money to any shareholders. It can pay out large salaries, but those salaries are scrutinized. It doesn't prevent abuse, and it certainly doesn't prevent some unscrupulous person from becoming extremely wealthy with a non-profit, but it is a little more complicated and limiting than you would think. Also, you get audited with routine regularity and if you are found in violation you lose your tax-exempt status, but you still are not a for-profit.
A non-profit is a company that for accounting purposes does not have shareholders and therefore keeps nothing in retained earnings at the end of the period. The leftover money must be distributed (e.g. as salaries, towards the stated mission, etc.). Their financial statements list net profit for the period and nothing is retained.
