14315321332400 has 120 divisors (see below), whose sum is σ = 37557806735808. Its totient is φ = 5200208800000.

The previous prime is 14315321332369. The next prime is 14315321332409. The reversal of 14315321332400 is 423312351341.

It is a super-2 number, since 2×14315321332400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14315321332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597075 + ... + 5947725.

Almost surely, 2^{14315321332400} is an apocalyptic number.

14315321332400 is a gapful number since it is divisible by the number (10) 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 14315321332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778903367904).

14315321332400 is an abundant number, since it is smaller than the sum of its proper divisors (23242485403408).

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

14315321332400 is a wasteful number, since it uses less digits than its factorization.

14315321332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351651 (or 3351640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 14315321332400 its reverse (423312351341), we get a palindrome (14738633683741).

The spelling of 14315321332400 in words is "fourteen trillion, three hundred fifteen billion, three hundred twenty-one million, three hundred thirty-two thousand, four hundred".