814442335980 has 576 divisors, whose sum is σ = 2896976130048. Its totient is φ = 167319060480.

The previous prime is 814442335913. The next prime is 814442335997. The reversal of 814442335980 is 89533244418.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 803989954 + ... + 803990966.

It is an arithmetic number, because the mean of its divisors is an integer number (5029472448).

Almost surely, 2^814442335980 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 814442335980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448488065024).

814442335980 is an abundant number, since it is smaller than the sum of its proper divisors (2082533794068).

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

814442335980 is a wasteful number, since it uses less digits than its factorization.

814442335980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 814442335980 in words is "eight hundred fourteen billion, four hundred forty-two million, three hundred thirty-five thousand, nine hundred eighty".