400156672416 has 96 divisors (see below), whose sum is σ = 1112441154048. Its totient is φ = 125681867520.

The previous prime is 400156672403. The next prime is 400156672423. The reversal of 400156672416 is 614276651004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204530 + ... + 1500401.

It is an arithmetic number, because the mean of its divisors is an integer number (11587928688).

Almost surely, 2^400156672416 is an apocalyptic number.

400156672416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

400156672416 is an abundant number, since it is smaller than the sum of its proper divisors (712284481632).

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

400156672416 is a wasteful number, since it uses less digits than its factorization.

400156672416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705034 (or 2705026 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 400156672416 in words is "four hundred billion, one hundred fifty-six million, six hundred seventy-two thousand, four hundred sixteen".