4000874818176 has 96 divisors (see below), whose sum is σ = 11514031401600. Its totient is φ = 1333497825792.

The previous prime is 4000874818139. The next prime is 4000874818261. The reversal of 4000874818176 is 6718184780004.

4000874818176 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 87 + 481 + 81 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 12335655 + ... + 12655833.

It is an arithmetic number, because the mean of its divisors is an integer number (119937827100).

Almost surely, 2^{4000874818176} is an apocalyptic number.

It is an amenable number.

4000874818176 is an abundant number, since it is smaller than the sum of its proper divisors (7513156583424).

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

4000874818176 is a wasteful number, since it uses less digits than its factorization.

4000874818176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331046 (or 331031 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 4000874818176 in words is "four trillion, eight hundred seventy-four million, eight hundred eighteen thousand, one hundred seventy-six".