40164331077 has 24 divisors (see below), whose sum is σ = 63502086648. Its totient is φ = 24311318400.

The previous prime is 40164331063. The next prime is 40164331079. The reversal of 40164331077 is 77013346104.

40164331077 is a `hidden beast` number, since 4 + 0 + 1 + 643 + 3 + 1 + 0 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1766241 + 40162564836 = 1329^2 + 200406^2 .

It is not a de Polignac number, because 40164331077 - 2⁸ = 40164330821 is a prime.

It is a super-2 number, since 2×40164331077² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164331079) 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 23 ways as a sum of consecutive naturals, for example, 2806674 + ... + 2820947.

It is an arithmetic number, because the mean of its divisors is an integer number (2645920277).

Almost surely, 2^40164331077 is an apocalyptic number.

It is an amenable number.

40164331077 is a deficient number, since it is larger than the sum of its proper divisors (23337755571).

40164331077 is a wasteful number, since it uses less digits than its factorization.

40164331077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627701 (or 5627698 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 40164331077 in words is "forty billion, one hundred sixty-four million, three hundred thirty-one thousand, seventy-seven".