40164134032 has 60 divisors (see below), whose sum is σ = 87847425148. Its totient is φ = 17762976000.

The previous prime is 40164134011. The next prime is 40164134039. The reversal of 40164134032 is 23043146104.

It can be written as a sum of positive squares in 2 ways, for example, as 24206381056 + 15957752976 = 155584^2 + 126324^2 .

It is a super-2 number, since 2×40164134032² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40164134039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208719 + ... + 351982.

Almost surely, 2^40164134032 is an apocalyptic number.

It is an amenable number.

40164134032 is an abundant number, since it is smaller than the sum of its proper divisors (47683291116).

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

40164134032 is a wasteful number, since it uses less digits than its factorization.

40164134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560768 (or 560751 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 40164134032 in words is "forty billion, one hundred sixty-four million, one hundred thirty-four thousand, thirty-two".