238641440544 has 240 divisors, whose sum is σ = 761277908160. Its totient is φ = 72898444800.

The previous prime is 238641440537. The next prime is 238641440551. The reversal of 238641440544 is 445044146832.

It is a happy number.

238641440544 is a `hidden beast` number, since 2 + 3 + 8 + 64 + 1 + 4 + 40 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (238641440537) and next prime (238641440551).

It is a self number, because there is not a number n which added to its sum of digits gives 238641440544.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4658269 + ... + 4709219.

It is an arithmetic number, because the mean of its divisors is an integer number (3171991284).

Almost surely, 2^238641440544 is an apocalyptic number.

238641440544 is a gapful number since it is divisible by the number (24) 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 238641440544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380638954080).

238641440544 is an abundant number, since it is smaller than the sum of its proper divisors (522636467616).

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

238641440544 is a wasteful number, since it uses less digits than its factorization.

238641440544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51125 (or 51108 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 238641440544 in words is "two hundred thirty-eight billion, six hundred forty-one million, four hundred forty thousand, five hundred forty-four".