814725883840 has 112 divisors (see below), whose sum is σ = 2117106991584. Its totient is φ = 296169984000.

The previous prime is 814725883823. The next prime is 814725883849. The reversal of 814725883840 is 48388527418.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814725883849) 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, 11584462 + ... + 11654578.

Almost surely, 2^814725883840 is an apocalyptic number.

814725883840 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 814725883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058553495792).

814725883840 is an abundant number, since it is smaller than the sum of its proper divisors (1302381107744).

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

814725883840 is a wasteful number, since it uses less digits than its factorization.

814725883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73446 (or 73436 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 58.

The spelling of 814725883840 in words is "eight hundred fourteen billion, seven hundred twenty-five million, eight hundred eighty-three thousand, eight hundred forty".