14124031444400 has 120 divisors (see below), whose sum is σ = 34590000361680. Its totient is φ = 5541088849920.

The previous prime is 14124031444337. The next prime is 14124031444459. The reversal of 14124031444400 is 444413042141.

It is an unprimeable number.

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, 3875684 + ... + 6577916.

It is an arithmetic number, because the mean of its divisors is an integer number (288250003014).

Almost surely, 2^{14124031444400} is an apocalyptic number.

14124031444400 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 14124031444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295000180840).

14124031444400 is an abundant number, since it is smaller than the sum of its proper divisors (20465968917280).

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

14124031444400 is a wasteful number, since it uses less digits than its factorization.

14124031444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702503 (or 2702492 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14124031444400 its reverse (444413042141), we get a palindrome (14568444486541).

The spelling of 14124031444400 in words is "fourteen trillion, one hundred twenty-four billion, thirty-one million, four hundred forty-four thousand, four hundred".