241242444204200 has 192 divisors, whose sum is σ = 565761965880960. Its totient is φ = 95662205291520.

The previous prime is 241242444204193. The next prime is 241242444204233. The reversal of 241242444204200 is 2402444242142.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17617932554 + ... + 17617946246.

It is an arithmetic number, because the mean of its divisors is an integer number (2946676905630).

Almost surely, 2^{241242444204200} is an apocalyptic number.

241242444204200 is a gapful number since it is divisible by the number (20) 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 241242444204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282880982940480).

241242444204200 is an abundant number, since it is smaller than the sum of its proper divisors (324519521676760).

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

241242444204200 is a wasteful number, since it uses less digits than its factorization.

241242444204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 241242444204200 its reverse (2402444242142), we get a palindrome (243644888446342).

The spelling of 241242444204200 in words is "two hundred forty-one trillion, two hundred forty-two billion, four hundred forty-four million, two hundred four thousand, two hundred".