14204514414400 has 168 divisors, whose sum is σ = 36690990554880. Its totient is φ = 5405325312000.

The previous prime is 14204514414397. The next prime is 14204514414401. The reversal of 14204514414400 is 441441540241.

14204514414400 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 not an unprimeable number, because it can be changed into a prime (14204514414401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499440 + ... + 5353360.

Almost surely, 2^{14204514414400} is an apocalyptic number.

14204514414400 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 14204514414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345495277440).

14204514414400 is an abundant number, since it is smaller than the sum of its proper divisors (22486476140480).

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

14204514414400 is a wasteful number, since it uses less digits than its factorization.

14204514414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854033 (or 4854018 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

Adding to 14204514414400 its reverse (441441540241), we get a palindrome (14645955954641).

The spelling of 14204514414400 in words is "fourteen trillion, two hundred four billion, five hundred fourteen million, four hundred fourteen thousand, four hundred".