238662411878400 has 480 divisors, whose sum is σ = 790567668660000. Its totient is φ = 63531122688000.

The previous prime is 238662411878381. The next prime is 238662411878411. The reversal of 238662411878400 is 4878114266832.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 23632276551 + ... + 23632286649.

It is an arithmetic number, because the mean of its divisors is an integer number (1647015976375).

Almost surely, 2^{238662411878400} is an apocalyptic number.

238662411878400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238662411878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395283834330000).

238662411878400 is an abundant number, since it is smaller than the sum of its proper divisors (551905256781600).

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

238662411878400 is an frugal number, since it uses more digits than its factorization.

238662411878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 238662411878400 in words is "two hundred thirty-eight trillion, six hundred sixty-two billion, four hundred eleven million, eight hundred seventy-eight thousand, four hundred".