814119944 has 96 divisors (see below), whose sum is σ = 1748529720. Its totient is φ = 354816000.

The previous prime is 814119907. The next prime is 814120001. The reversal of 814119944 is 449911418.

It can be written as a sum of positive squares in 4 ways, for example, as 590976100 + 223143844 = 24310^2 + 14938^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2897084 + ... + 2897364.

Almost surely, 2^814119944 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 814119944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874264860).

814119944 is an abundant number, since it is smaller than the sum of its proper divisors (934409776).

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

814119944 is a wasteful number, since it uses less digits than its factorization.

814119944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 41472, while the sum is 41.

The square root of 814119944 is about 28532.7871754583. The cubic root of 814119944 is about 933.7475271600.

The spelling of 814119944 in words is "eight hundred fourteen million, one hundred nineteen thousand, nine hundred forty-four".