14022320013200 has 240 divisors, whose sum is σ = 36384709146240. Its totient is φ = 5175830016000.

The previous prime is 14022320013187. The next prime is 14022320013203. The reversal of 14022320013200 is 231002322041.

14022320013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14022320013203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196583942 + ... + 196655258.

It is an arithmetic number, because the mean of its divisors is an integer number (151602954776).

Almost surely, 2^{14022320013200} is an apocalyptic number.

14022320013200 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 14022320013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192354573120).

14022320013200 is an abundant number, since it is smaller than the sum of its proper divisors (22362389133040).

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

14022320013200 is a wasteful number, since it uses less digits than its factorization.

14022320013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72026 (or 72015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14022320013200 its reverse (231002322041), we get a palindrome (14253322335241).

The spelling of 14022320013200 in words is "fourteen trillion, twenty-two billion, three hundred twenty million, thirteen thousand, two hundred".