809845309440 has 900 divisors, whose sum is σ = 3023656973568. Its totient is φ = 207346728960.

The previous prime is 809845309423. The next prime is 809845309457. The reversal of 809845309440 is 44903548908.

809845309440 is a `hidden beast` number, since 80 + 98 + 4 + 5 + 30 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (809845309423) and next prime (809845309457).

It is a super-2 number, since 2×809845309440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6376734657 + ... + 6376734783.

Almost surely, 2^809845309440 is an apocalyptic number.

809845309440 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 809845309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511828486784).

809845309440 is an abundant number, since it is smaller than the sum of its proper divisors (2213811664128).

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

809845309440 is an equidigital number, since it uses as much as digits as its factorization.

809845309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 809845309440 in words is "eight hundred nine billion, eight hundred forty-five million, three hundred nine thousand, four hundred forty".