231920440704000 has 1408 divisors, whose sum is σ = 889535306649600. Its totient is φ = 59523932160000.

The previous prime is 231920440703993. The next prime is 231920440704013. The reversal of 231920440704000 is 407044029132.

231920440704000 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 204 + 40 + 7 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33174140505 + ... + 33174147495.

Almost surely, 2^{231920440704000} is an apocalyptic number.

231920440704000 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 231920440704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444767653324800).

231920440704000 is an abundant number, since it is smaller than the sum of its proper divisors (657614865945600).

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

231920440704000 is a wasteful number, since it uses less digits than its factorization.

231920440704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 231920440704000 in words is "two hundred thirty-one trillion, nine hundred twenty billion, four hundred forty million, seven hundred four thousand".