238406615040 has 480 divisors, whose sum is σ = 861211128960. Its totient is φ = 55784243200.

The previous prime is 238406615021. The next prime is 238406615047. The reversal of 238406615040 is 40516604832.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238406615040.

It is not an unprimeable number, because it can be changed into a prime (238406615047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78395920 + ... + 78398960.

It is an arithmetic number, because the mean of its divisors is an integer number (1794189852).

Almost surely, 2^238406615040 is an apocalyptic number.

238406615040 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 238406615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430605564480).

238406615040 is an abundant number, since it is smaller than the sum of its proper divisors (622804513920).

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

238406615040 is a wasteful number, since it uses less digits than its factorization.

238406615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 238406615040 in words is "two hundred thirty-eight billion, four hundred six million, six hundred fifteen thousand, forty".