It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 001 742 is not a prime number.
For example, 4 001 742 can be divided by 2: 4 001 742 / 2 = 2 000 871.
For 4 001 742 to be a prime number, it would have been required that 4 001 742 has only two divisors, i.e., itself and 1.
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4 001 742 is an even number, because it is evenly divisible by 2: 4 001 742 / 2 = 2 000 871.
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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 4 001 742 is about 2 000.435.
Thus, the square root of 4 001 742 is not an integer, and therefore 4 001 742 is not a square number.
The square of a number (here 4 001 742) is the result of the product of this number (4 001 742) by itself (i.e., 4 001 742 × 4 001 742); the square of 4 001 742 is sometimes called "raising 4 001 742 to the power 2", or "4 001 742 squared".
The square of 4 001 742 is 16 013 939 034 564 because 4 001 742 × 4 001 742 = 4 001 7422 = 16 013 939 034 564.
As a consequence, 4 001 742 is the square root of 16 013 939 034 564.
The multiples of 4 001 742 are all integers evenly divisible by 4 001 742, that is all numbers such that the remainder of the division by 4 001 742 is zero. There are infinitely many multiples of 4 001 742. The smallest multiples of 4 001 742 are: