14033442111400 has 192 divisors, whose sum is σ = 33494337475200. Its totient is φ = 5466710400000.

The previous prime is 14033442111361. The next prime is 14033442111401. The reversal of 14033442111400 is 411124433041.

It is not an unprimeable number, because it can be changed into a prime (14033442111401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383923125 + ... + 383959675.

It is an arithmetic number, because the mean of its divisors is an integer number (174449674350).

Almost surely, 2^{14033442111400} is an apocalyptic number.

14033442111400 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 14033442111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747168737600).

14033442111400 is an abundant number, since it is smaller than the sum of its proper divisors (19460895363800).

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

14033442111400 is a wasteful number, since it uses less digits than its factorization.

14033442111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36980 (or 36971 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14033442111400 its reverse (411124433041), we get a palindrome (14444566544441).

The spelling of 14033442111400 in words is "fourteen trillion, thirty-three billion, four hundred forty-two million, one hundred eleven thousand, four hundred".