313004140400000 has 576 divisors, whose sum is σ = 912224984020560. Its totient is φ = 106656238080000.

The previous prime is 313004140399999. The next prime is 313004140400027. The reversal of 313004140400000 is 4041400313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3194751014 + ... + 3194848986.

Almost surely, 2^{313004140400000} 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 313004140400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456112492010280).

313004140400000 is an abundant number, since it is smaller than the sum of its proper divisors (599220843620560).

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

313004140400000 is an frugal number, since it uses more digits than its factorization.

313004140400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98189 (or 98150 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 313004140400000 its reverse (4041400313), we get a palindrome (313008181800313).

The spelling of 313004140400000 in words is "three hundred thirteen trillion, four billion, one hundred forty million, four hundred thousand".