14142244200 has 192 divisors, whose sum is σ = 51269813760. Its totient is φ = 3157297920.

The previous prime is 14142244177. The next prime is 14142244201. The reversal of 14142244200 is 244224141.

It is a super-3 number, since 3×14142244200³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14142244201) 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, 141447 + ... + 219753.

It is an arithmetic number, because the mean of its divisors is an integer number (267030280).

Almost surely, 2^14142244200 is an apocalyptic number.

14142244200 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 14142244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634906880).

14142244200 is an abundant number, since it is smaller than the sum of its proper divisors (37127569560).

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

14142244200 is a wasteful number, since it uses less digits than its factorization.

14142244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78376 (or 78367 counting only the distinct ones).

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

Adding to 14142244200 its reverse (244224141), we get a palindrome (14386468341).

The spelling of 14142244200 in words is "fourteen billion, one hundred forty-two million, two hundred forty-four thousand, two hundred".