2314313324400 has 720 divisors, whose sum is σ = 9372811546112. Its totient is φ = 477800294400.

The previous prime is 2314313324377. The next prime is 2314313324413. The reversal of 2314313324400 is 44233134132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159567549 + ... + 159582051.

Almost surely, 2^{2314313324400} is an apocalyptic number.

2314313324400 is a gapful number since it is divisible by the number (20) 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 2314313324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686405773056).

2314313324400 is an abundant number, since it is smaller than the sum of its proper divisors (7058498221712).

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

2314313324400 is a wasteful number, since it uses less digits than its factorization.

2314313324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14710 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2314313324400 its reverse (44233134132), we get a palindrome (2358546458532).

The spelling of 2314313324400 in words is "two trillion, three hundred fourteen billion, three hundred thirteen million, three hundred twenty-four thousand, four hundred".