432113051994624 has 3840 divisors, whose sum is σ = 1818283942379520. Its totient is φ = 99492986880000.

The previous prime is 432113051994529. The next prime is 432113051994653. The reversal of 432113051994624 is 426499150311234.

432113051994624 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 1 + 3 + 0 + 5 + 1 + 9 + 9 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 453423978532 + ... + 453423979484.

It is an arithmetic number, because the mean of its divisors is an integer number (473511443328).

Almost surely, 2^{432113051994624} is an apocalyptic number.

432113051994624 is a gapful number since it is divisible by the number (44) 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 432113051994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909141971189760).

432113051994624 is an abundant number, since it is smaller than the sum of its proper divisors (1386170890384896).

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

432113051994624 is a wasteful number, since it uses less digits than its factorization.

432113051994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 432113051994624 in words is "four hundred thirty-two trillion, one hundred thirteen billion, fifty-one million, nine hundred ninety-four thousand, six hundred twenty-four".