402316768896 has 768 divisors, whose sum is σ = 1412802000000. Its totient is φ = 100477698048.

The previous prime is 402316768849. The next prime is 402316768901. The reversal of 402316768896 is 698867613204.

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, 322110480 + ... + 322111728.

Almost surely, 2^402316768896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402316768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706401000000).

402316768896 is an abundant number, since it is smaller than the sum of its proper divisors (1010485231104).

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

402316768896 is a wasteful number, since it uses less digits than its factorization.

402316768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 402316768896 in words is "four hundred two billion, three hundred sixteen million, seven hundred sixty-eight thousand, eight hundred ninety-six".