40177680 has 40 divisors (see below), whose sum is σ = 124551552. Its totient is φ = 10713984.

The previous prime is 40177679. The next prime is 40177717. The reversal of 40177680 is 8677104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40177680² = 3228491940364800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83464 + ... + 83943.

Almost surely, 2^40177680 is an apocalyptic number.

40177680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40177680 is an abundant number, since it is smaller than the sum of its proper divisors (84373872).

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

40177680 is a wasteful number, since it uses less digits than its factorization.

40177680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167423 (or 167417 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 40177680 is about 6338.5865932399. The cubic root of 40177680 is about 342.5008222759.

It can be divided in two parts, 401776 and 80, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 40177680 in words is "forty million, one hundred seventy-seven thousand, six hundred eighty".