432604626104322 has 96 divisors (see below), whose sum is σ = 1079795915078400. Its totient is φ = 122612953484160.

The previous prime is 432604626104251. The next prime is 432604626104351. The reversal of 432604626104322 is 223401626406234.

432604626104322 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 0 + 4 + 6 + 2 + 610 + 4 + 3 + 22 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392454 + ... + 29417057.

It is an arithmetic number, because the mean of its divisors is an integer number (11247874115400).

Almost surely, 2^{432604626104322} is an apocalyptic number.

432604626104322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432604626104322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539897957539200).

432604626104322 is an abundant number, since it is smaller than the sum of its proper divisors (647191288974078).

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

432604626104322 is a wasteful number, since it uses less digits than its factorization.

432604626104322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29810448 (or 29810445 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 432604626104322 in words is "four hundred thirty-two trillion, six hundred four billion, six hundred twenty-six million, one hundred four thousand, three hundred twenty-two".