809414868240 has 480 divisors, whose sum is σ = 3143826496512. Its totient is φ = 184757760000.

The previous prime is 809414868233. The next prime is 809414868289. The reversal of 809414868240 is 42868414908.

It is a happy number.

809414868240 is a `hidden beast` number, since 8 + 0 + 9 + 41 + 486 + 82 + 40 = 666.

809414868240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 9039690 + ... + 9128790.

Almost surely, 2^809414868240 is an apocalyptic number.

809414868240 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 809414868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571913248256).

809414868240 is an abundant number, since it is smaller than the sum of its proper divisors (2334411628272).

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

809414868240 is a wasteful number, since it uses less digits than its factorization.

809414868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89199 (or 89190 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 809414868240 in words is "eight hundred nine billion, four hundred fourteen million, eight hundred sixty-eight thousand, two hundred forty".