809830315416 has 128 divisors (see below), whose sum is σ = 2089261278720. Its totient is φ = 261454562304.

The previous prime is 809830315373. The next prime is 809830315457. The reversal of 809830315416 is 614513038908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194996796 + ... + 195000948.

It is an arithmetic number, because the mean of its divisors is an integer number (16322353740).

Almost surely, 2^809830315416 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 809830315416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044630639360).

809830315416 is an abundant number, since it is smaller than the sum of its proper divisors (1279430963304).

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

809830315416 is a wasteful number, since it uses less digits than its factorization.

809830315416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 809830315416 in words is "eight hundred nine billion, eight hundred thirty million, three hundred fifteen thousand, four hundred sixteen".