809816874240 has 432 divisors, whose sum is σ = 3010106280384. Its totient is φ = 184769249280.

The previous prime is 809816874227. The next prime is 809816874241. The reversal of 809816874240 is 42478618908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809816874241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7847619 + ... + 7950141.

It is an arithmetic number, because the mean of its divisors is an integer number (6967838612).

Almost surely, 2^809816874240 is an apocalyptic number.

809816874240 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 809816874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505053140192).

809816874240 is an abundant number, since it is smaller than the sum of its proper divisors (2200289406144).

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

809816874240 is a wasteful number, since it uses less digits than its factorization.

809816874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102586 (or 102561 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 809816874240 in words is "eight hundred nine billion, eight hundred sixteen million, eight hundred seventy-four thousand, two hundred forty".