14001300344400 has 240 divisors, whose sum is σ = 45485867241984. Its totient is φ = 3681135152640.

The previous prime is 14001300344359. The next prime is 14001300344413. The reversal of 14001300344400 is 444300310041.

14001300344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14001300344400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27807687 + ... + 28306713.

Almost surely, 2^{14001300344400} is an apocalyptic number.

14001300344400 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 14001300344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742933620992).

14001300344400 is an abundant number, since it is smaller than the sum of its proper divisors (31484566897584).

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

14001300344400 is a wasteful number, since it uses less digits than its factorization.

14001300344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499378 (or 499367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14001300344400 its reverse (444300310041), we get a palindrome (14445600654441).

The spelling of 14001300344400 in words is "fourteen trillion, one billion, three hundred million, three hundred forty-four thousand, four hundred".