809140958330880 has 4352 divisors, whose sum is σ = 3444107998003200. Its totient is φ = 157856154255360.

The previous prime is 809140958330867. The next prime is 809140958330909. The reversal of 809140958330880 is 88033859041908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4352).

It is a super-2 number, since 2×809140958330880² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7423311544266 + ... + 7423311544374.

Almost surely, 2^{809140958330880} is an apocalyptic number.

809140958330880 is a gapful number since it is divisible by the number (80) 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 809140958330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722053999001600).

809140958330880 is an abundant number, since it is smaller than the sum of its proper divisors (2634967039672320).

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

809140958330880 is a wasteful number, since it uses less digits than its factorization.

809140958330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 66.

The spelling of 809140958330880 in words is "eight hundred nine trillion, one hundred forty billion, nine hundred fifty-eight million, three hundred thirty thousand, eight hundred eighty".