14242021200 has 360 divisors, whose sum is σ = 54242007456. Its totient is φ = 3431808000.

The previous prime is 14242021187. The next prime is 14242021207. The reversal of 14242021200 is 212024241.

14242021200 is a `hidden beast` number, since 1 + 42 + 420 + 2 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×14242021200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7166607 + ... + 7168593.

Almost surely, 2^14242021200 is an apocalyptic number.

14242021200 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 14242021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27121003728).

14242021200 is an abundant number, since it is smaller than the sum of its proper divisors (39999986256).

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

14242021200 is a wasteful number, since it uses less digits than its factorization.

14242021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14242021200 its reverse (212024241), we get a palindrome (14454045441).

The spelling of 14242021200 in words is "fourteen billion, two hundred forty-two million, twenty-one thousand, two hundred".