814573840080 has 960 divisors, whose sum is σ = 3654121621248. Its totient is φ = 147046072320.

The previous prime is 814573840057. The next prime is 814573840099. The reversal of 814573840080 is 80048375418.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28574314 + ... + 28602806.

Almost surely, 2^814573840080 is an apocalyptic number.

814573840080 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 814573840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827060810624).

814573840080 is an abundant number, since it is smaller than the sum of its proper divisors (2839547781168).

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

814573840080 is a wasteful number, since it uses less digits than its factorization.

814573840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564 (or 28551 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

It can be divided in two parts, 8145738 and 40080, that added together give a palindrome (8185818).

The spelling of 814573840080 in words is "eight hundred fourteen billion, five hundred seventy-three million, eight hundred forty thousand, eighty".