14013024414400 has 168 divisors, whose sum is σ = 37684971244080. Its totient is φ = 5086222848000.

The previous prime is 14013024414391. The next prime is 14013024414443. The reversal of 14013024414400 is 441442031041.

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 23 ways as a sum of consecutive naturals, for example, 8785746 + ... + 10257454.

Almost surely, 2^{14013024414400} is an apocalyptic number.

14013024414400 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 14013024414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842485622040).

14013024414400 is an abundant number, since it is smaller than the sum of its proper divisors (23671946829680).

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

14013024414400 is a wasteful number, since it uses less digits than its factorization.

14013024414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472283 (or 1472268 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14013024414400 its reverse (441442031041), we get a palindrome (14454466445441).

The spelling of 14013024414400 in words is "fourteen trillion, thirteen billion, twenty-four million, four hundred fourteen thousand, four hundred".