432773321904 has 960 divisors, whose sum is σ = 1607719321600. Its totient is φ = 109068664320.

The previous prime is 432773321833. The next prime is 432773321917. The reversal of 432773321904 is 409123377234.

432773321904 is a `hidden beast` number, since 43 + 277 + 332 + 1 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 432773321904.

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 191 ways as a sum of consecutive naturals, for example, 3113477067 + ... + 3113477205.

Almost surely, 2^432773321904 is an apocalyptic number.

432773321904 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 432773321904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803859660800).

432773321904 is an abundant number, since it is smaller than the sum of its proper divisors (1174945999696).

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

432773321904 is a wasteful number, since it uses less digits than its factorization.

432773321904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 432773321904 in words is "four hundred thirty-two billion, seven hundred seventy-three million, three hundred twenty-one thousand, nine hundred four".