232521145335040 has 144 divisors (see below), whose sum is σ = 560415461731776. Its totient is φ = 92431632384000.

The previous prime is 232521145335023. The next prime is 232521145335047. The reversal of 232521145335040 is 40533541125232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232521145334984 and 232521145335002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232521145335047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4258523740 + ... + 4258578340.

It is an arithmetic number, because the mean of its divisors is an integer number (3891774039804).

Almost surely, 2^{232521145335040} is an apocalyptic number.

232521145335040 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 232521145335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280207730865888).

232521145335040 is an abundant number, since it is smaller than the sum of its proper divisors (327894316396736).

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

232521145335040 is a wasteful number, since it uses less digits than its factorization.

232521145335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75196 (or 75182 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 232521145335040 in words is "two hundred thirty-two trillion, five hundred twenty-one billion, one hundred forty-five million, three hundred thirty-five thousand, forty".