It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 40 406 is not a prime number.
For example, 40 406 can be divided by 2: 40 406 / 2 = 20 203.
For 40 406 to be a prime number, it would have been required that 40 406 has only two divisors, i.e., itself and 1.
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40 406 is an even number, because it is evenly divisible by 2: 40 406 / 2 = 20 203.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 40 406 is about 201.012.
Thus, the square root of 40 406 is not an integer, and therefore 40 406 is not a square number.
The square of a number (here 40 406) is the result of the product of this number (40 406) by itself (i.e., 40 406 × 40 406); the square of 40 406 is sometimes called "raising 40 406 to the power 2", or "40 406 squared".
The square of 40 406 is 1 632 644 836 because 40 406 × 40 406 = 40 4062 = 1 632 644 836.
As a consequence, 40 406 is the square root of 1 632 644 836.
The multiples of 40 406 are all integers evenly divisible by 40 406, that is all numbers such that the remainder of the division by 40 406 is zero. There are infinitely many multiples of 40 406. The smallest multiples of 40 406 are: