814032704128 has 64 divisors (see below), whose sum is σ = 1913164485120. Its totient is φ = 337617239040.

The previous prime is 814032704119. The next prime is 814032704131. The reversal of 814032704128 is 821407230418.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14625751 + ... + 14681302.

It is an arithmetic number, because the mean of its divisors is an integer number (29893195080).

Almost surely, 2^814032704128 is an apocalyptic number.

It is an amenable number.

814032704128 is an abundant number, since it is smaller than the sum of its proper divisors (1099131780992).

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

814032704128 is a wasteful number, since it uses less digits than its factorization.

814032704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29307105 (or 29307093 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 814032704128 in words is "eight hundred fourteen billion, thirty-two million, seven hundred four thousand, one hundred twenty-eight".