819424995840 has 1280 divisors, whose sum is σ = 3375683942400. Its totient is φ = 186325401600.

The previous prime is 819424995803. The next prime is 819424995847. The reversal of 819424995840 is 48599424918.

819424995840 is a `hidden beast` number, since 8 + 1 + 9 + 4 + 2 + 49 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (819424995847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1892436264 + ... + 1892436696.

It is an arithmetic number, because the mean of its divisors is an integer number (2637253080).

Almost surely, 2^819424995840 is an apocalyptic number.

819424995840 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 819424995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687841971200).

819424995840 is an abundant number, since it is smaller than the sum of its proper divisors (2556258946560).

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

819424995840 is a wasteful number, since it uses less digits than its factorization.

819424995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 819424995840 in words is "eight hundred nineteen billion, four hundred twenty-four million, nine hundred ninety-five thousand, eight hundred forty".