819404812800 has 1350 divisors, whose sum is σ = 3555805188177. Its totient is φ = 185817784320.

The previous prime is 819404812769. The next prime is 819404812841. The reversal of 819404812800 is 8218404918.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

819404812800 is a `hidden beast` number, since 8 + 1 + 94 + 0 + 481 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 803016716544 + 16388096256 = 896112^2 + 128016^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640080.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6452006337 + ... + 6452006463.

Almost surely, 2^819404812800 is an apocalyptic number.

819404812800 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 819404812800

819404812800 is an abundant number, since it is smaller than the sum of its proper divisors (2736400375377).

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

819404812800 is an equidigital number, since it uses as much as digits as its factorization.

819404812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 819404812800 in words is "eight hundred nineteen billion, four hundred four million, eight hundred twelve thousand, eight hundred".