14412124111400 has 144 divisors (see below), whose sum is σ = 36129366813600. Its totient is φ = 5336324822400.

The previous prime is 14412124111397. The next prime is 14412124111403. The reversal of 14412124111400 is 411142121441.

It is an interprime number because it is at equal distance from previous prime (14412124111397) and next prime (14412124111403).

It is a self number, because there is not a number n which added to its sum of digits gives 14412124111400.

It is not an unprimeable number, because it can be changed into a prime (14412124111403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2790491 + ... + 6050709.

It is an arithmetic number, because the mean of its divisors is an integer number (250898380650).

Almost surely, 2^{14412124111400} is an apocalyptic number.

14412124111400 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 14412124111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064683406800).

14412124111400 is an abundant number, since it is smaller than the sum of its proper divisors (21717242702200).

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

14412124111400 is a wasteful number, since it uses less digits than its factorization.

14412124111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260320 (or 3260280 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 14412124111400 its reverse (411142121441), we get a palindrome (14823266232841).

The spelling of 14412124111400 in words is "fourteen trillion, four hundred twelve billion, one hundred twenty-four million, one hundred eleven thousand, four hundred".