4314122304400 has 30 divisors (see below), whose sum is σ = 10364678837282. Its totient is φ = 1725648921600.

The previous prime is 4314122304383. The next prime is 4314122304413. The reversal of 4314122304400 is 44032214134.

It can be written as a sum of positive squares in 3 ways, for example, as 523110813696 + 3791011490704 = 723264^2 + 1947052^2 .

It is a super-2 number, since 2×4314122304400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5392652481 + ... + 5392653280.

Almost surely, 2^{4314122304400} is an apocalyptic number.

4314122304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314122304400 is an abundant number, since it is smaller than the sum of its proper divisors (6050556532882).

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

4314122304400 is a wasteful number, since it uses less digits than its factorization.

4314122304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785305779 (or 10785305768 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4314122304400 its reverse (44032214134), we get a palindrome (4358154518534).

The spelling of 4314122304400 in words is "four trillion, three hundred fourteen billion, one hundred twenty-two million, three hundred four thousand, four hundred".