40431537192961 has 32 divisors (see below), whose sum is σ = 43252079195808. Its totient is φ = 37661162864640.

The previous prime is 40431537192941. The next prime is 40431537192971. The reversal of 40431537192961 is 16929173513404.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 37197496050625 + 3234041142336 = 6098975^2 + 1798344^2 .

It is a cyclic number.

It is not a de Polignac number, because 40431537192961 - 2³⁵ = 40397177454593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40431537192911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4350747231 + ... + 4350756523.

It is an arithmetic number, because the mean of its divisors is an integer number (1351627474869).

Almost surely, 2^{40431537192961} is an apocalyptic number.

It is an amenable number.

40431537192961 is a deficient number, since it is larger than the sum of its proper divisors (2820542002847).

40431537192961 is a wasteful number, since it uses less digits than its factorization.

40431537192961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501.

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 40431537192961 in words is "forty trillion, four hundred thirty-one billion, five hundred thirty-seven million, one hundred ninety-two thousand, nine hundred sixty-one".