814041020864 has 112 divisors (see below), whose sum is σ = 1753668019200. Its totient is φ = 373602087936.

The previous prime is 814041020857. The next prime is 814041020867. The reversal of 814041020864 is 468020140418.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814041020867) 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, 10715237 + ... + 10790939.

Almost surely, 2^814041020864 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 814041020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876834009600).

814041020864 is an abundant number, since it is smaller than the sum of its proper divisors (939626998336).

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

814041020864 is a wasteful number, since it uses less digits than its factorization.

814041020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76010 (or 76000 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 814041020864 in words is "eight hundred fourteen billion, forty-one million, twenty thousand, eight hundred sixty-four".