232440132553200 has 360 divisors, whose sum is σ = 947651378877840. Its totient is φ = 52014575001600.

The previous prime is 232440132553193. The next prime is 232440132553201. The reversal of 232440132553200 is 2355231044232.

232440132553200 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 4 + 0 + 1 + 325 + 5 + 320 + 0 = 666.

232440132553200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232440132553201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225242905 + ... + 226272504.

Almost surely, 2^{232440132553200} is an apocalyptic number.

232440132553200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232440132553200 is an abundant number, since it is smaller than the sum of its proper divisors (715211246324640).

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

232440132553200 is a wasteful number, since it uses less digits than its factorization.

232440132553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451515457 (or 451515443 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 232440132553200 its reverse (2355231044232), we get a palindrome (234795363597432).

The spelling of 232440132553200 in words is "two hundred thirty-two trillion, four hundred forty billion, one hundred thirty-two million, five hundred fifty-three thousand, two hundred".