14210244142000 has 320 divisors, whose sum is σ = 36410806523520. Its totient is φ = 5357753856000.

The previous prime is 14210244141991. The next prime is 14210244142007. The reversal of 14210244142000 is 24144201241.

It is a happy number.

14210244142000 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 (25).

It is not an unprimeable number, because it can be changed into a prime (14210244142007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278012446 + ... + 278063554.

It is an arithmetic number, because the mean of its divisors is an integer number (113783770386).

Almost surely, 2^{14210244142000} is an apocalyptic number.

14210244142000 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 14210244142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205403261760).

14210244142000 is an abundant number, since it is smaller than the sum of its proper divisors (22200562381520).

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

14210244142000 is a wasteful number, since it uses less digits than its factorization.

14210244142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51289 (or 51273 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 14210244142000 its reverse (24144201241), we get a palindrome (14234388343241).

The spelling of 14210244142000 in words is "fourteen trillion, two hundred ten billion, two hundred forty-four million, one hundred forty-two thousand".