40164969744 has 225 divisors, whose sum is σ = 123109631733. Its totient is φ = 12640385664.

The previous prime is 40164969737. The next prime is 40164969773. The reversal of 40164969744 is 44796946104.

The square root of 40164969744 is 200412.

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

40164969744 is a `hidden beast` number, since 401 + 64 + 96 + 97 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38001603600 + 2163366144 = 194940^2 + 46512^2 .

It is a super-2 number, since 2×40164969744² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137081662 + ... + 137081954.

Almost surely, 2^40164969744 is an apocalyptic number.

40164969744 is the 200412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40164969744

40164969744 is an abundant number, since it is smaller than the sum of its proper divisors (82944661989).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40164969744 is an equidigital number, since it uses as much as digits as its factorization.

40164969744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40164969744 in words is "forty billion, one hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred forty-four".