It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 40 338 is not a prime number.
For example, 40 338 can be divided by 2: 40 338 / 2 = 20 169.
For 40 338 to be a prime number, it would have been required that 40 338 has only two divisors, i.e., itself and 1.
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40 338 is an even number, because it is evenly divisible by 2: 40 338 / 2 = 20 169.
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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 40 338 is about 200.843.
Thus, the square root of 40 338 is not an integer, and therefore 40 338 is not a square number.
The square of a number (here 40 338) is the result of the product of this number (40 338) by itself (i.e., 40 338 × 40 338); the square of 40 338 is sometimes called "raising 40 338 to the power 2", or "40 338 squared".
The square of 40 338 is 1 627 154 244 because 40 338 × 40 338 = 40 3382 = 1 627 154 244.
As a consequence, 40 338 is the square root of 1 627 154 244.
The multiples of 40 338 are all integers evenly divisible by 40 338, that is all numbers such that the remainder of the division by 40 338 is zero. There are infinitely many multiples of 40 338. The smallest multiples of 40 338 are: