431878993920 has 576 divisors, whose sum is σ = 1643310789120. Its totient is φ = 104030208000.

The previous prime is 431878993913. The next prime is 431878993957. The reversal of 431878993920 is 29399878134.

431878993920 is a `hidden beast` number, since 431 + 87 + 8 + 99 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169296645 + ... + 169299195.

It is an arithmetic number, because the mean of its divisors is an integer number (2852970120).

Almost surely, 2^431878993920 is an apocalyptic number.

431878993920 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 431878993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821655394560).

431878993920 is an abundant number, since it is smaller than the sum of its proper divisors (1211431795200).

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

431878993920 is a wasteful number, since it uses less digits than its factorization.

431878993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 431878993920 in words is "four hundred thirty-one billion, eight hundred seventy-eight million, nine hundred ninety-three thousand, nine hundred twenty".