232250540855040 has 720 divisors, whose sum is σ = 844511818106880. Its totient is φ = 60932773601280.

The previous prime is 232250540855029. The next prime is 232250540855057. The reversal of 232250540855040 is 40558045052232.

232250540855040 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 5 + 0 + 54 + 0 + 8 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3526020187 + ... + 3526086053.

It is an arithmetic number, because the mean of its divisors is an integer number (1172933080704).

Almost surely, 2^{232250540855040} is an apocalyptic number.

232250540855040 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 232250540855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422255909053440).

232250540855040 is an abundant number, since it is smaller than the sum of its proper divisors (612261277251840).

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

232250540855040 is an equidigital number, since it uses as much as digits as its factorization.

232250540855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66450 (or 66427 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 232250540855040 in words is "two hundred thirty-two trillion, two hundred fifty billion, five hundred forty million, eight hundred fifty-five thousand, forty".