414440814816 has 192 divisors, whose sum is σ = 1454178700800. Its totient is φ = 112179437568.

The previous prime is 414440814779. The next prime is 414440814857. The reversal of 414440814816 is 618418044414.

It is a super-2 number, since 2×414440814816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688385 + ... + 1918208.

It is an arithmetic number, because the mean of its divisors is an integer number (7573847400).

Almost surely, 2^414440814816 is an apocalyptic number.

It is an amenable number.

414440814816 is an abundant number, since it is smaller than the sum of its proper divisors (1039737885984).

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

414440814816 is a wasteful number, since it uses less digits than its factorization.

414440814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606638 (or 3606624 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 414440814816 in words is "four hundred fourteen billion, four hundred forty million, eight hundred fourteen thousand, eight hundred sixteen".