313400311424340 has 384 divisors, whose sum is σ = 1084265873510400. Its totient is φ = 66034185154560.

The previous prime is 313400311424329. The next prime is 313400311424363. The reversal of 313400311424340 is 43424113004313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122737522 + ... + 125264918.

It is an arithmetic number, because the mean of its divisors is an integer number (2823609045600).

Almost surely, 2^{313400311424340} is an apocalyptic number.

313400311424340 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 313400311424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542132936755200).

313400311424340 is an abundant number, since it is smaller than the sum of its proper divisors (770865562086060).

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

313400311424340 is a wasteful number, since it uses less digits than its factorization.

313400311424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527855 (or 2527853 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 313400311424340 its reverse (43424113004313), we get a palindrome (356824424428653).

The spelling of 313400311424340 in words is "three hundred thirteen trillion, four hundred billion, three hundred eleven million, four hundred twenty-four thousand, three hundred forty".