238985939183040 has 336 divisors, whose sum is σ = 958614643396800. Its totient is φ = 54625357301760.

The previous prime is 238985939183039. The next prime is 238985939183051. The reversal of 238985939183040 is 40381939589832.

238985939183040 is a `hidden beast` number, since 2 + 3 + 89 + 85 + 9 + 391 + 83 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×238985939183040² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238985939183040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119976051 + ... + 121951730.

Almost surely, 2^{238985939183040} is an apocalyptic number.

238985939183040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238985939183040 is an abundant number, since it is smaller than the sum of its proper divisors (719628704213760).

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

238985939183040 is a wasteful number, since it uses less digits than its factorization.

238985939183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241927825 (or 241927798 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 238985939183040 in words is "two hundred thirty-eight trillion, nine hundred eighty-five billion, nine hundred thirty-nine million, one hundred eighty-three thousand, forty".