4013982736 has 45 divisors (see below), whose sum is σ = 7969731069. Its totient is φ = 1958460672.

The previous prime is 4013982691. The next prime is 4013982737. The reversal of 4013982736 is 6372893104.

The square root of 4013982736 is 63356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1082410000 + 2931572736 = 32900^2 + 54144^2 .

It is a super-2 number, since 2×4013982736² = 32224114809812091392, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4013982692 and 4013982701.

It is not an unprimeable number, because it can be changed into a prime (4013982737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11910760 + ... + 11911096.

Almost surely, 2^4013982736 is an apocalyptic number.

4013982736 is the 63356-th square number.

It is an amenable number.

4013982736 is a deficient number, since it is larger than the sum of its proper divisors (3955748333).

4013982736 is an frugal number, since it uses more digits than its factorization.

4013982736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The cubic root of 4013982736 is about 1589.2485849934.

The spelling of 4013982736 in words is "four billion, thirteen million, nine hundred eighty-two thousand, seven hundred thirty-six".