415342431504 has 240 divisors, whose sum is σ = 1560681193344. Its totient is φ = 99582566400.

The previous prime is 415342431443. The next prime is 415342431509. The reversal of 415342431504 is 405134243514.

415342431504 is a `hidden beast` number, since 4 + 153 + 424 + 31 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415342431509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296577 + ... + 1584864.

Almost surely, 2^415342431504 is an apocalyptic number.

415342431504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

415342431504 is an abundant number, since it is smaller than the sum of its proper divisors (1145338761840).

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

415342431504 is a wasteful number, since it uses less digits than its factorization.

415342431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881486 (or 2881477 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 415342431504 in words is "four hundred fifteen billion, three hundred forty-two million, four hundred thirty-one thousand, five hundred four".