238167041660400 has 120 divisors (see below), whose sum is σ = 763297174001520. Its totient is φ = 63480513873920.

The previous prime is 238167041660393. The next prime is 238167041660417. The reversal of 238167041660400 is 4066140761832.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 238167041660400.

It is a congruent number.

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, 45480597 + ... + 50446196.

It is an arithmetic number, because the mean of its divisors is an integer number (6360809783346).

Almost surely, 2^{238167041660400} is an apocalyptic number.

238167041660400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238167041660400 is an abundant number, since it is smaller than the sum of its proper divisors (525130132341120).

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

238167041660400 is a wasteful number, since it uses less digits than its factorization.

238167041660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95928883 (or 95928872 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 238167041660400 in words is "two hundred thirty-eight trillion, one hundred sixty-seven billion, forty-one million, six hundred sixty thousand, four hundred".