14242541200 has 60 divisors (see below), whose sum is σ = 34339747428. Its totient is φ = 5676697600.

The previous prime is 14242541191. The next prime is 14242541273. The reversal of 14242541200 is 214524241.

It can be written as a sum of positive squares in 6 ways, for example, as 514200976 + 13728340224 = 22676^2 + 117168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49044 + ... + 175756.

Almost surely, 2^14242541200 is an apocalyptic number.

14242541200 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 14242541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169873714).

14242541200 is an abundant number, since it is smaller than the sum of its proper divisors (20097206228).

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

14242541200 is a wasteful number, since it uses less digits than its factorization.

14242541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127012 (or 127001 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 14242541200 in words is "fourteen billion, two hundred forty-two million, five hundred forty-one thousand, two hundred".