811842679440 has 240 divisors, whose sum is σ = 2943843581952. Its totient is φ = 199315547136.

The previous prime is 811842679433. The next prime is 811842679457. The reversal of 811842679440 is 44976248118.

811842679440 is a `hidden beast` number, since 81 + 18 + 42 + 6 + 79 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471649 + ... + 3698111.

Almost surely, 2^811842679440 is an apocalyptic number.

811842679440 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 811842679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471921790976).

811842679440 is an abundant number, since it is smaller than the sum of its proper divisors (2132000902512).

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

811842679440 is a wasteful number, since it uses less digits than its factorization.

811842679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226878 (or 226869 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 811842679440 in words is "eight hundred eleven billion, eight hundred forty-two million, six hundred seventy-nine thousand, four hundred forty".