313004430400 has 336 divisors, whose sum is σ = 829415664000. Its totient is φ = 116044185600.

The previous prime is 313004430329. The next prime is 313004430499. The reversal of 313004430400 is 4034400313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104368101 + ... + 104371099.

It is an arithmetic number, because the mean of its divisors is an integer number (2468499000).

Almost surely, 2^313004430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313004430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414707832000).

313004430400 is an abundant number, since it is smaller than the sum of its proper divisors (516411233600).

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

313004430400 is a wasteful number, since it uses less digits than its factorization.

313004430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 313004430400 its reverse (4034400313), we get a palindrome (317038830713).

The spelling of 313004430400 in words is "three hundred thirteen billion, four million, four hundred thirty thousand, four hundred".