414393765504 has 32 divisors (see below), whose sum is σ = 1100733440640. Its totient is φ = 138131255040.

The previous prime is 414393765503. The next prime is 414393765509. The reversal of 414393765504 is 405567393414.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (414393765503) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 539574832 + ... + 539575599.

It is an arithmetic number, because the mean of its divisors is an integer number (34397920020).

Almost surely, 2^414393765504 is an apocalyptic number.

It is an amenable number.

414393765504 is an abundant number, since it is smaller than the sum of its proper divisors (686339675136).

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

414393765504 is a wasteful number, since it uses less digits than its factorization.

414393765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079150448 (or 1079150436 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 414393765504 in words is "four hundred fourteen billion, three hundred ninety-three million, seven hundred sixty-five thousand, five hundred four".