14042051400344 has 128 divisors (see below), whose sum is σ = 30802070983680. Its totient is φ = 5936207270400.

The previous prime is 14042051400317. The next prime is 14042051400371. The reversal of 14042051400344 is 44300415024041.

14042051400344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14042051400317) and next prime (14042051400371).

It is a self number, because there is not a number n which added to its sum of digits gives 14042051400344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111744989 + ... + 111870579.

It is an arithmetic number, because the mean of its divisors is an integer number (240641179560).

Almost surely, 2^{14042051400344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042051400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401035491840).

14042051400344 is an abundant number, since it is smaller than the sum of its proper divisors (16760019583336).

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

14042051400344 is a wasteful number, since it uses less digits than its factorization.

14042051400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127161 (or 127157 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 14042051400344 its reverse (44300415024041), we get a palindrome (58342466424385).

The spelling of 14042051400344 in words is "fourteen trillion, forty-two billion, fifty-one million, four hundred thousand, three hundred forty-four".