241344431224 has 64 divisors (see below), whose sum is σ = 496757046240. Its totient is φ = 109255641600.

The previous prime is 241344431221. The next prime is 241344431257. The reversal of 241344431224 is 422134443142.

241344431224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×241344431224² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241344431224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241344431221) 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 15 ways as a sum of consecutive naturals, for example, 1016562 + ... + 1231294.

Almost surely, 2^241344431224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241344431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248378523120).

241344431224 is an abundant number, since it is smaller than the sum of its proper divisors (255412615016).

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

241344431224 is a wasteful number, since it uses less digits than its factorization.

241344431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214960 (or 214956 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 241344431224 its reverse (422134443142), we get a palindrome (663478874366).

The spelling of 241344431224 in words is "two hundred forty-one billion, three hundred forty-four million, four hundred thirty-one thousand, two hundred twenty-four".