414985105920 has 640 divisors, whose sum is σ = 1707442716672. Its totient is φ = 83445350400.

The previous prime is 414985105919. The next prime is 414985105961. The reversal of 414985105920 is 29501589414.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 414985105920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18320842 + ... + 18343478.

Almost surely, 2^414985105920 is an apocalyptic number.

414985105920 is a gapful number since it is divisible by the number (40) 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 414985105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853721358336).

414985105920 is an abundant number, since it is smaller than the sum of its proper divisors (1292457610752).

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

414985105920 is a wasteful number, since it uses less digits than its factorization.

414985105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22712 (or 22696 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 414985105920 in words is "four hundred fourteen billion, nine hundred eighty-five million, one hundred five thousand, nine hundred twenty".