810992005440 has 224 divisors, whose sum is σ = 2712157461120. Its totient is φ = 204750913536.

The previous prime is 810992005429. The next prime is 810992005463. The reversal of 810992005440 is 44500299018.

810992005440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 810992005392 and 810992005401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30210264 + ... + 30237096.

Almost surely, 2^810992005440 is an apocalyptic number.

810992005440 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 810992005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356078730560).

810992005440 is an abundant number, since it is smaller than the sum of its proper divisors (1901165455680).

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

810992005440 is a wasteful number, since it uses less digits than its factorization.

810992005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 810992005440 in words is "eight hundred ten billion, nine hundred ninety-two million, five thousand, four hundred forty".