432961157341440 has 10368 divisors, whose sum is σ = 2192981803084800. Its totient is φ = 77694825922560.

The previous prime is 432961157341381. The next prime is 432961157341501. The reversal of 432961157341440 is 44143751169234.

It is a happy number.

432961157341440 is a `hidden beast` number, since 4 + 3 + 2 + 9 + 6 + 1 + 157 + 3 + 41 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4864732104916 + ... + 4864732105004.

It is an arithmetic number, because the mean of its divisors is an integer number (211514448600).

Almost surely, 2^{432961157341440} is an apocalyptic number.

432961157341440 is a gapful number since it is divisible by the number (40) 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 432961157341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096490901542400).

432961157341440 is an abundant number, since it is smaller than the sum of its proper divisors (1760020645743360).

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

432961157341440 is a wasteful number, since it uses less digits than its factorization.

432961157341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 432961157341440 in words is "four hundred thirty-two trillion, nine hundred sixty-one billion, one hundred fifty-seven million, three hundred forty-one thousand, four hundred forty".