313043414411340 has 144 divisors (see below), whose sum is σ = 951514053104160. Its totient is φ = 83306929428480.

The previous prime is 313043414411269. The next prime is 313043414411359. The reversal of 313043414411340 is 43114414340313.

313043414411340 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 43 + 41 + 441 + 134 + 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 = 313043414411295 and 313043414411304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087110580 + ... + 1087398500.

It is an arithmetic number, because the mean of its divisors is an integer number (6607736479890).

Almost surely, 2^{313043414411340} is an apocalyptic number.

313043414411340 is a gapful number since it is divisible by the number (30) 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 313043414411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475757026552080).

313043414411340 is an abundant number, since it is smaller than the sum of its proper divisors (638470638692820).

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

313043414411340 is a wasteful number, since it uses less digits than its factorization.

313043414411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300312 (or 300307 counting only the distinct ones).

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

Adding to 313043414411340 its reverse (43114414340313), we get a palindrome (356157828751653).

The spelling of 313043414411340 in words is "three hundred thirteen trillion, forty-three billion, four hundred fourteen million, four hundred eleven thousand, three hundred forty".