238774587890400 has 1008 divisors, whose sum is σ = 908953888384080. Its totient is φ = 61172510515200.

The previous prime is 238774587890369. The next prime is 238774587890483. The reversal of 238774587890400 is 4098785477832.

It is a happy number.

238774587890400 is a `hidden beast` number, since 2 + 3 + 87 + 7 + 4 + 58 + 7 + 8 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1529655556 + ... + 1529811644.

It is an arithmetic number, because the mean of its divisors is an integer number (901739968635).

Almost surely, 2^{238774587890400} is an apocalyptic number.

238774587890400 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 238774587890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454476944192040).

238774587890400 is an abundant number, since it is smaller than the sum of its proper divisors (670179300493680).

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

238774587890400 is a wasteful number, since it uses less digits than its factorization.

238774587890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156231 (or 156203 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 238774587890400 in words is "two hundred thirty-eight trillion, seven hundred seventy-four billion, five hundred eighty-seven million, eight hundred ninety thousand, four hundred".