819140444352 has 140 divisors (see below), whose sum is σ = 2431130702880. Its totient is φ = 272716015104.

The previous prime is 819140444341. The next prime is 819140444359. The reversal of 819140444352 is 253444041918.

819140444352 is a `hidden beast` number, since 8 + 19 + 140 + 4 + 443 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 819140444298 and 819140444307.

It is not an unprimeable number, because it can be changed into a prime (819140444359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4202233 + ... + 4392839.

Almost surely, 2^819140444352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819140444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215565351440).

819140444352 is an abundant number, since it is smaller than the sum of its proper divisors (1611990258528).

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

819140444352 is a wasteful number, since it uses less digits than its factorization.

819140444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191460 (or 191441 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 819140444352 in words is "eight hundred nineteen billion, one hundred forty million, four hundred forty-four thousand, three hundred fifty-two".