814407625920 has 224 divisors, whose sum is σ = 2956203993600. Its totient is φ = 186083057664.

The previous prime is 814407625919. The next prime is 814407625939. The reversal of 814407625920 is 29526704418.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 814407625920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19931271 + ... + 19972089.

Almost surely, 2^814407625920 is an apocalyptic number.

814407625920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814407625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478101996800).

814407625920 is an abundant number, since it is smaller than the sum of its proper divisors (2141796367680).

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

814407625920 is a wasteful number, since it uses less digits than its factorization.

814407625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43815 (or 43805 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 814407625920 in words is "eight hundred fourteen billion, four hundred seven million, six hundred twenty-five thousand, nine hundred twenty".