313140432344000 has 224 divisors, whose sum is σ = 821250124815744. Its totient is φ = 117867969331200.

The previous prime is 313140432343961. The next prime is 313140432344027. The reversal of 313140432344000 is 443234041313.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805877762 + ... + 806266238.

Almost surely, 2^{313140432344000} 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 313140432344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410625062407872).

313140432344000 is an abundant number, since it is smaller than the sum of its proper divisors (508109692471744).

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

313140432344000 is a wasteful number, since it uses less digits than its factorization.

313140432344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394448 (or 394428 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 313140432344000 its reverse (443234041313), we get a palindrome (313583666385313).

The spelling of 313140432344000 in words is "three hundred thirteen trillion, one hundred forty billion, four hundred thirty-two million, three hundred forty-four thousand".