403815942432 has 384 divisors, whose sum is σ = 1368028569600. Its totient is φ = 113503223808.

The previous prime is 403815942419. The next prime is 403815942487. The reversal of 403815942432 is 234249518304.

403815942432 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 1 + 594 + 24 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146680768 + ... + 146683520.

It is an arithmetic number, because the mean of its divisors is an integer number (3562574400).

Almost surely, 2^403815942432 is an apocalyptic number.

403815942432 is a gapful number since it is divisible by the number (42) 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 403815942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684014284800).

403815942432 is an abundant number, since it is smaller than the sum of its proper divisors (964212627168).

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

403815942432 is a wasteful number, since it uses less digits than its factorization.

403815942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 403815942432 in words is "four hundred three billion, eight hundred fifteen million, nine hundred forty-two thousand, four hundred thirty-two".