432395231063040 has 1408 divisors, whose sum is σ = 1876203507916800. Its totient is φ = 92233701457920.

The previous prime is 432395231063027. The next prime is 432395231063071. The reversal of 432395231063040 is 40360132593234.

It is a happy number.

432395231063040 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 9 + 5 + 2 + 3 + 1 + 0 + 630 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1231681135 + ... + 1232032145.

Almost surely, 2^{432395231063040} is an apocalyptic number.

432395231063040 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 432395231063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938101753958400).

432395231063040 is an abundant number, since it is smaller than the sum of its proper divisors (1443808276853760).

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

432395231063040 is a wasteful number, since it uses less digits than its factorization.

432395231063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351138 (or 351114 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 432395231063040 in words is "four hundred thirty-two trillion, three hundred ninety-five billion, two hundred thirty-one million, sixty-three thousand, forty".