432504414242046 has 24 divisors (see below), whose sum is σ = 957031044282144. Its totient is φ = 141100730887200.

The previous prime is 432504414242023. The next prime is 432504414242107. The reversal of 432504414242046 is 640242414405234.

432504414242046 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 0 + 4 + 414 + 24 + 204 + 6 = 666.

It is a super-2 number, since 2×432504414242046² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 432504414241992 and 432504414242010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255617265255 + ... + 255617266946.

It is an arithmetic number, because the mean of its divisors is an integer number (39876293511756).

Almost surely, 2^{432504414242046} is an apocalyptic number.

432504414242046 is an abundant number, since it is smaller than the sum of its proper divisors (524526630040098).

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

432504414242046 is a wasteful number, since it uses less digits than its factorization.

432504414242046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511234532256 (or 511234532253 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 432504414242046 in words is "four hundred thirty-two trillion, five hundred four billion, four hundred fourteen million, two hundred forty-two thousand, forty-six".