432271332864 has 360 divisors, whose sum is σ = 1498087027008. Its totient is φ = 119520092160.

The previous prime is 432271332863. The next prime is 432271332869. The reversal of 432271332864 is 468233172234.

432271332864 is a `hidden beast` number, since 43 + 2 + 271 + 332 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432271332863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6968674 + ... + 7030430.

Almost surely, 2^432271332864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432271332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749043513504).

432271332864 is an abundant number, since it is smaller than the sum of its proper divisors (1065815694144).

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

432271332864 is a wasteful number, since it uses less digits than its factorization.

432271332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61826 (or 61800 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 432271332864 in words is "four hundred thirty-two billion, two hundred seventy-one million, three hundred thirty-two thousand, eight hundred sixty-four".