40137216616323 has 96 divisors (see below), whose sum is σ = 62381185776000. Its totient is φ = 24818827880448.

The previous prime is 40137216616247. The next prime is 40137216616327. The reversal of 40137216616323 is 32361661273104.

40137216616323 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 2 + 1 + 6 + 6 + 1 + 632 + 3 = 666.

It is not a de Polignac number, because 40137216616323 - 2⁸ = 40137216616067 is a prime.

It is a super-2 number, since 2×40137216616323² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40137216616327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240211615 + ... + 240378647.

It is an arithmetic number, because the mean of its divisors is an integer number (649804018500).

Almost surely, 2^{40137216616323} is an apocalyptic number.

40137216616323 is a deficient number, since it is larger than the sum of its proper divisors (22243969159677).

40137216616323 is a wasteful number, since it uses less digits than its factorization.

40137216616323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167421 (or 167418 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

Adding to 40137216616323 its reverse (32361661273104), we get a palindrome (72498877889427).

The spelling of 40137216616323 in words is "forty trillion, one hundred thirty-seven billion, two hundred sixteen million, six hundred sixteen thousand, three hundred twenty-three".