414500000880 has 320 divisors, whose sum is σ = 1546883850240. Its totient is φ = 89693733888.

The previous prime is 414500000869. The next prime is 414500000897. The reversal of 414500000880 is 88000005414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56909719 + ... + 56917001.

It is an arithmetic number, because the mean of its divisors is an integer number (4834012032).

Almost surely, 2^414500000880 is an apocalyptic number.

414500000880 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 414500000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773441925120).

414500000880 is an abundant number, since it is smaller than the sum of its proper divisors (1132383849360).

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

414500000880 is a wasteful number, since it uses less digits than its factorization.

414500000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 414500000880 in words is "four hundred fourteen billion, five hundred million, eight hundred eighty", and thus it is an aban number.