14325313220400 has 480 divisors, whose sum is σ = 56537288270848. Its totient is φ = 3019335782400.

The previous prime is 14325313220389. The next prime is 14325313220431. The reversal of 14325313220400 is 402231352341.

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

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 95 ways as a sum of consecutive naturals, for example, 105528570 + ... + 105664230.

Almost surely, 2^{14325313220400} is an apocalyptic number.

14325313220400 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 14325313220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28268644135424).

14325313220400 is an abundant number, since it is smaller than the sum of its proper divisors (42211975050448).

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

14325313220400 is a wasteful number, since it uses less digits than its factorization.

14325313220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136669 (or 136658 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14325313220400 its reverse (402231352341), we get a palindrome (14727544572741).

The spelling of 14325313220400 in words is "fourteen trillion, three hundred twenty-five billion, three hundred thirteen million, two hundred twenty thousand, four hundred".