402416556800 has 216 divisors, whose sum is σ = 1026825278976. Its totient is φ = 156056965120.

The previous prime is 402416556793. The next prime is 402416556823. The reversal of 402416556800 is 8655614204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32179349 + ... + 32191851.

It is an arithmetic number, because the mean of its divisors is an integer number (4753820736).

Almost surely, 2^402416556800 is an apocalyptic number.

402416556800 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 402416556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513412639488).

402416556800 is an abundant number, since it is smaller than the sum of its proper divisors (624408722176).

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

402416556800 is a wasteful number, since it uses less digits than its factorization.

402416556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 402416556800 in words is "four hundred two billion, four hundred sixteen million, five hundred fifty-six thousand, eight hundred".