402349178880 has 960 divisors, whose sum is σ = 1630695628800. Its totient is φ = 93168599040.

The previous prime is 402349178867. The next prime is 402349178909. The reversal of 402349178880 is 88871943204.

It is a happy number.

402349178880 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 491 + 78 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 559595161 + ... + 559595879.

It is an arithmetic number, because the mean of its divisors is an integer number (1698641280).

Almost surely, 2^402349178880 is an apocalyptic number.

402349178880 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 402349178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815347814400).

402349178880 is an abundant number, since it is smaller than the sum of its proper divisors (1228346449920).

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

402349178880 is a wasteful number, since it uses less digits than its factorization.

402349178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 402349178880 in words is "four hundred two billion, three hundred forty-nine million, one hundred seventy-eight thousand, eight hundred eighty".