814406926128 has 80 divisors (see below), whose sum is σ = 2141672448000. Its totient is φ = 266629109760.

The previous prime is 814406926121. The next prime is 814406926159. The reversal of 814406926128 is 821629604418.

It is not an unprimeable number, because it can be changed into a prime (814406926121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162048 + ... + 1286496.

It is an arithmetic number, because the mean of its divisors is an integer number (26770905600).

Almost surely, 2^814406926128 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 814406926128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070836224000).

814406926128 is an abundant number, since it is smaller than the sum of its proper divisors (1327265521872).

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

814406926128 is a wasteful number, since it uses less digits than its factorization.

814406926128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124730 (or 1124724 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 814406926128 in words is "eight hundred fourteen billion, four hundred six million, nine hundred twenty-six thousand, one hundred twenty-eight".