232930701095040 has 1440 divisors, whose sum is σ = 925797360147660. Its totient is φ = 55784272527360.

The previous prime is 232930701095033. The next prime is 232930701095047. The reversal of 232930701095040 is 40590107039232.

232930701095040 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 30 + 7 + 0 + 109 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232930701095033) and next prime (232930701095047).

It can be written as a sum of positive squares in 18 ways, for example, as 22279381770816 + 210651319324224 = 4720104^2 + 14513832^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×232930701095040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (232930701095047) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11993744530 + ... + 11993763950.

Almost surely, 2^{232930701095040} is an apocalyptic number.

232930701095040 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 232930701095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462898680073830).

232930701095040 is an abundant number, since it is smaller than the sum of its proper divisors (692866659052620).

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

232930701095040 is a wasteful number, since it uses less digits than its factorization.

232930701095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 232930701095040 in words is "two hundred thirty-two trillion, nine hundred thirty billion, seven hundred one million, ninety-five thousand, forty".