402416406560 has 48 divisors (see below), whose sum is σ = 1086524300736. Its totient is φ = 137971339008.

The previous prime is 402416406547. The next prime is 402416406607. The reversal of 402416406560 is 65604614204.

It is a super-2 number, since 2×402416406560² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179649062 + ... + 179651301.

It is an arithmetic number, because the mean of its divisors is an integer number (22635922932).

Almost surely, 2^402416406560 is an apocalyptic number.

402416406560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402416406560 is an abundant number, since it is smaller than the sum of its proper divisors (684107894176).

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

402416406560 is a wasteful number, since it uses less digits than its factorization.

402416406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359300385 (or 359300377 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 402416406560 in words is "four hundred two billion, four hundred sixteen million, four hundred six thousand, five hundred sixty".