241261205200 has 120 divisors (see below), whose sum is σ = 614033264088. Its totient is φ = 90782269440.

The previous prime is 241261205177. The next prime is 241261205201. The reversal of 241261205200 is 2502162142.

It can be written as a sum of positive squares in 12 ways, for example, as 62454008464 + 178807196736 = 249908^2 + 422856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241261205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15584664 + ... + 15600136.

Almost surely, 2^241261205200 is an apocalyptic number.

241261205200 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 241261205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307016632044).

241261205200 is an abundant number, since it is smaller than the sum of its proper divisors (372772058888).

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

241261205200 is a wasteful number, since it uses less digits than its factorization.

241261205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17801 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 241261205200 its reverse (2502162142), we get a palindrome (243763367342).

The spelling of 241261205200 in words is "two hundred forty-one billion, two hundred sixty-one million, two hundred five thousand, two hundred".