414431112430000 has 50 divisors (see below), whose sum is σ = 1003379166328484. Its totient is φ = 165772444968000.

The previous prime is 414431112429913. The next prime is 414431112430051. The reversal of 414431112430000 is 34211134414.

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20721545622 + ... + 20721565621.

Almost surely, 2^{414431112430000} is an apocalyptic number.

414431112430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414431112430000 is an abundant number, since it is smaller than the sum of its proper divisors (588948053898484).

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

414431112430000 is an equidigital number, since it uses as much as digits as its factorization.

414431112430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41443111271 (or 41443111250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414431112430000 its reverse (34211134414), we get a palindrome (414465323564414).

The spelling of 414431112430000 in words is "four hundred fourteen trillion, four hundred thirty-one billion, one hundred twelve million, four hundred thirty thousand".