814415938560 has 1848 divisors, whose sum is σ = 3510649886616. Its totient is φ = 180592312320.

The previous prime is 814415938547. The next prime is 814415938591. The reversal of 814415938560 is 65839514418.

It is a happy number.

814415938560 is a `hidden beast` number, since 8 + 1 + 4 + 41 + 5 + 9 + 38 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2341011456 + 812074927104 = 48384^2 + 901152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 814415938497 and 814415938506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11156382684 + ... + 11156382756.

Almost surely, 2^814415938560 is an apocalyptic number.

814415938560 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 814415938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755324943308).

814415938560 is an abundant number, since it is smaller than the sum of its proper divisors (2696233948056).

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

814415938560 is an equidigital number, since it uses as much as digits as its factorization.

814415938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 814415938560 in words is "eight hundred fourteen billion, four hundred fifteen million, nine hundred thirty-eight thousand, five hundred sixty".