40177054960 has 80 divisors (see below), whose sum is σ = 112374950400. Its totient is φ = 13049987328.

The previous prime is 40177054937. The next prime is 40177054991. The reversal of 40177054960 is 6945077104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40177054960² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1877380 + ... + 1898659.

It is an arithmetic number, because the mean of its divisors is an integer number (1404686880).

Almost surely, 2^40177054960 is an apocalyptic number.

40177054960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40177054960 is an abundant number, since it is smaller than the sum of its proper divisors (72197895440).

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

40177054960 is a wasteful number, since it uses less digits than its factorization.

40177054960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776078 (or 3776072 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 40177054960 in words is "forty billion, one hundred seventy-seven million, fifty-four thousand, nine hundred sixty".