313551404430240 has 192 divisors, whose sum is σ = 988371493200000. Its totient is φ = 83555765612544.

The previous prime is 313551404430193. The next prime is 313551404430259. The reversal of 313551404430240 is 42034404155313.

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 31 ways as a sum of consecutive naturals, for example, 12843612274 + ... + 12843636686.

It is an arithmetic number, because the mean of its divisors is an integer number (5147768193750).

Almost surely, 2^{313551404430240} is an apocalyptic number.

313551404430240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313551404430240 is an abundant number, since it is smaller than the sum of its proper divisors (674820088769760).

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

313551404430240 is a wasteful number, since it uses less digits than its factorization.

313551404430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41879 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 313551404430240 its reverse (42034404155313), we get a palindrome (355585808585553).

The spelling of 313551404430240 in words is "three hundred thirteen trillion, five hundred fifty-one billion, four hundred four million, four hundred thirty thousand, two hundred forty".