14234002044400 has 120 divisors (see below), whose sum is σ = 34274322240480. Its totient is φ = 5680765009920.

The previous prime is 14234002044389. The next prime is 14234002044439. The reversal of 14234002044400 is 444020043241.

14234002044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036776736 + ... + 1036790464.

It is an arithmetic number, because the mean of its divisors is an integer number (285619352004).

Almost surely, 2^{14234002044400} is an apocalyptic number.

14234002044400 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 14234002044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137161120240).

14234002044400 is an abundant number, since it is smaller than the sum of its proper divisors (20040320196080).

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

14234002044400 is a wasteful number, since it uses less digits than its factorization.

14234002044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19403 (or 19392 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14234002044400 its reverse (444020043241), we get a palindrome (14678022087641).

The spelling of 14234002044400 in words is "fourteen trillion, two hundred thirty-four billion, two million, forty-four thousand, four hundred".