238042934400 has 384 divisors, whose sum is σ = 819808957440. Its totient is φ = 60594688000.

The previous prime is 238042934399. The next prime is 238042934419. The reversal of 238042934400 is 4439240832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164053675 + ... + 164055125.

It is an arithmetic number, because the mean of its divisors is an integer number (2134919160).

Almost surely, 2^238042934400 is an apocalyptic number.

238042934400 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 238042934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409904478720).

238042934400 is an abundant number, since it is smaller than the sum of its proper divisors (581766023040).

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

238042934400 is a wasteful number, since it uses less digits than its factorization.

238042934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 238042934400 in words is "two hundred thirty-eight billion, forty-two million, nine hundred thirty-four thousand, four hundred".