402339883680 has 576 divisors, whose sum is σ = 1619138626560. Its totient is φ = 89076768768.

The previous prime is 402339883667. The next prime is 402339883709. The reversal of 402339883680 is 86388933204.

It is a happy number.

402339883680 is a `hidden beast` number, since 40 + 233 + 9 + 8 + 8 + 368 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42200194 + ... + 42209726.

It is an arithmetic number, because the mean of its divisors is an integer number (2811004560).

Almost surely, 2^402339883680 is an apocalyptic number.

402339883680 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 402339883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809569313280).

402339883680 is an abundant number, since it is smaller than the sum of its proper divisors (1216798742880).

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

402339883680 is a wasteful number, since it uses less digits than its factorization.

402339883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 402339883680 in words is "four hundred two billion, three hundred thirty-nine million, eight hundred eighty-three thousand, six hundred eighty".