819795133440 has 176 divisors, whose sum is σ = 2913404376960. Its totient is φ = 218611998720.

The previous prime is 819795133411. The next prime is 819795133477. The reversal of 819795133440 is 44331597918.

819795133440 is a `hidden beast` number, since 8 + 1 + 97 + 9 + 513 + 34 + 4 + 0 = 666.

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 15 ways as a sum of consecutive naturals, for example, 2826876 + ... + 3103355.

It is an arithmetic number, because the mean of its divisors is an integer number (16553433960).

Almost surely, 2^819795133440 is an apocalyptic number.

819795133440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819795133440 is an abundant number, since it is smaller than the sum of its proper divisors (2093609243520).

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

819795133440 is a wasteful number, since it uses less digits than its factorization.

819795133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930265 (or 5930241 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 819795133440 in words is "eight hundred nineteen billion, seven hundred ninety-five million, one hundred thirty-three thousand, four hundred forty".