40779629566920 has 96 divisors (see below), whose sum is σ = 132569883646200. Its totient is φ = 10871606854656.

The previous prime is 40779629566919. The next prime is 40779629566937. The reversal of 40779629566920 is 2966592697704.

40779629566920 is a `hidden beast` number, since 40 + 77 + 96 + 295 + 66 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30690913043844 + 10088716523076 = 5539938^2 + 3176274^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14097915 + ... + 16742474.

Almost surely, 2^{40779629566920} is an apocalyptic number.

40779629566920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40779629566920 is an abundant number, since it is smaller than the sum of its proper divisors (91790254079280).

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

40779629566920 is a wasteful number, since it uses less digits than its factorization.

40779629566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30844079 (or 30844072 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 40779629566920 in words is "forty trillion, seven hundred seventy-nine billion, six hundred twenty-nine million, five hundred sixty-six thousand, nine hundred twenty".