809299099440 has 320 divisors, whose sum is σ = 3003276528000. Its totient is φ = 199128416256.

The previous prime is 809299099387. The next prime is 809299099459. The reversal of 809299099440 is 44990992908.

809299099440 is a `hidden beast` number, since 80 + 9 + 29 + 9 + 0 + 99 + 440 = 666.

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, 91452136 + ... + 91460984.

It is an arithmetic number, because the mean of its divisors is an integer number (9385239150).

Almost surely, 2^809299099440 is an apocalyptic number.

809299099440 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 809299099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501638264000).

809299099440 is an abundant number, since it is smaller than the sum of its proper divisors (2193977428560).

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

809299099440 is a wasteful number, since it uses less digits than its factorization.

809299099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 809299099440 in words is "eight hundred nine billion, two hundred ninety-nine million, ninety-nine thousand, four hundred forty".