813343134240 has 576 divisors, whose sum is σ = 3424204772352. Its totient is φ = 171196416000.

The previous prime is 813343134193. The next prime is 813343134259. The reversal of 813343134240 is 42431343318.

813343134240 is a `hidden beast` number, since 8 + 1 + 334 + 313 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 813343134195 and 813343134204.

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 95 ways as a sum of consecutive naturals, for example, 56471040 + ... + 56485440.

It is an arithmetic number, because the mean of its divisors is an integer number (5944799952).

Almost surely, 2^813343134240 is an apocalyptic number.

813343134240 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 813343134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712102386176).

813343134240 is an abundant number, since it is smaller than the sum of its proper divisors (2610861638112).

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

813343134240 is a wasteful number, since it uses less digits than its factorization.

813343134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 813343134240 its reverse (42431343318), we get a palindrome (855774477558).

The spelling of 813343134240 in words is "eight hundred thirteen billion, three hundred forty-three million, one hundred thirty-four thousand, two hundred forty".