813898873440 has 864 divisors, whose sum is σ = 3109537136160. Its totient is φ = 200550629376.

The previous prime is 813898873367. The next prime is 813898873441. The reversal of 813898873440 is 44378898318.

813898873440 is a `hidden beast` number, since 8 + 1 + 38 + 98 + 8 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×813898873440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813898873441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1052908894 + ... + 1052909666.

It is an arithmetic number, because the mean of its divisors is an integer number (3599001315).

Almost surely, 2^813898873440 is an apocalyptic number.

813898873440 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 813898873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554768568080).

813898873440 is an abundant number, since it is smaller than the sum of its proper divisors (2295638262720).

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

813898873440 is an equidigital number, since it uses as much as digits as its factorization.

813898873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 813898873440 in words is "eight hundred thirteen billion, eight hundred ninety-eight million, eight hundred seventy-three thousand, four hundred forty".