418980801318912 has 1664 divisors, whose sum is σ = 1509161213952000. Its totient is φ = 112208660398080.

The previous prime is 418980801318889. The next prime is 418980801318941. The reversal of 418980801318912 is 219813108089814.

418980801318912 is a `hidden beast` number, since 4 + 1 + 89 + 80 + 80 + 1 + 318 + 91 + 2 = 666.

It is a super-2 number, since 2×418980801318912² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 418980801318912.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 823144992514 + ... + 823144993022.

Almost surely, 2^{418980801318912} is an apocalyptic number.

418980801318912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418980801318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754580606976000).

418980801318912 is an abundant number, since it is smaller than the sum of its proper divisors (1090180412633088).

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

418980801318912 is a wasteful number, since it uses less digits than its factorization.

418980801318912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 418980801318912 in words is "four hundred eighteen trillion, nine hundred eighty billion, eight hundred one million, three hundred eighteen thousand, nine hundred twelve".