14002204214400 has 192 divisors, whose sum is σ = 46122625567200. Its totient is φ = 3733689139200.

The previous prime is 14002204214353. The next prime is 14002204214443. The reversal of 14002204214400 is 441240220041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14002204214400² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200883555 + ... + 200953245.

Almost surely, 2^{14002204214400} is an apocalyptic number.

14002204214400 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 14002204214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061312783600).

14002204214400 is an abundant number, since it is smaller than the sum of its proper divisors (32120421352800).

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

14002204214400 is a wasteful number, since it uses less digits than its factorization.

14002204214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90647 (or 90630 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14002204214400 its reverse (441240220041), we get a palindrome (14443444434441).

The spelling of 14002204214400 in words is "fourteen trillion, two billion, two hundred four million, two hundred fourteen thousand, four hundred".