406441880480 has 96 divisors (see below), whose sum is σ = 1010936505600. Its totient is φ = 153992696832.

The previous prime is 406441880479. The next prime is 406441880491. The reversal of 406441880480 is 84088144604.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27757001 + ... + 27771639.

It is an arithmetic number, because the mean of its divisors is an integer number (10530588600).

Almost surely, 2^406441880480 is an apocalyptic number.

406441880480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406441880480 is an abundant number, since it is smaller than the sum of its proper divisors (604494625120).

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

406441880480 is a wasteful number, since it uses less digits than its factorization.

406441880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23806 (or 23798 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The spelling of 406441880480 in words is "four hundred six billion, four hundred forty-one million, eight hundred eighty thousand, four hundred eighty".