819457128000 has 896 divisors, whose sum is σ = 3447579632640. Its totient is φ = 186673766400.

The previous prime is 819457127999. The next prime is 819457128023. The reversal of 819457128000 is 821754918.

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 127 ways as a sum of consecutive naturals, for example, 563975274 + ... + 563976726.

Almost surely, 2^819457128000 is an apocalyptic number.

819457128000 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 819457128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723789816320).

819457128000 is an abundant number, since it is smaller than the sum of its proper divisors (2628122504640).

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

819457128000 is a wasteful number, since it uses less digits than its factorization.

819457128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 819457128000 in words is "eight hundred nineteen billion, four hundred fifty-seven million, one hundred twenty-eight thousand".