40105672677 has 24 divisors (see below), whose sum is σ = 69084722304. Its totient is φ = 21921112224.

The previous prime is 40105672667. The next prime is 40105672679. The reversal of 40105672677 is 77627650104.

40105672677 is a `hidden beast` number, since 4 + 0 + 10 + 567 + 2 + 6 + 77 = 666.

It is not a de Polignac number, because 40105672677 - 2⁶ = 40105672613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105672679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13837638 + ... + 13840535.

It is an arithmetic number, because the mean of its divisors is an integer number (2878530096).

Almost surely, 2^40105672677 is an apocalyptic number.

It is an amenable number.

40105672677 is a deficient number, since it is larger than the sum of its proper divisors (28979049627).

40105672677 is a wasteful number, since it uses less digits than its factorization.

40105672677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27678209 (or 27678206 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40105672677 in words is "forty billion, one hundred five million, six hundred seventy-two thousand, six hundred seventy-seven".