241220320032 has 96 divisors (see below), whose sum is σ = 638108452800. Its totient is φ = 79785492480.

The previous prime is 241220320027. The next prime is 241220320039. The reversal of 241220320032 is 230023022142.

241220320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 241220319990 and 241220320008.

It is not an unprimeable number, because it can be changed into a prime (241220320039) 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, 10018344 + ... + 10042392.

It is an arithmetic number, because the mean of its divisors is an integer number (6646963050).

Almost surely, 2^241220320032 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 241220320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319054226400).

241220320032 is an abundant number, since it is smaller than the sum of its proper divisors (396888132768).

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

241220320032 is a wasteful number, since it uses less digits than its factorization.

241220320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24866 (or 24858 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 241220320032 its reverse (230023022142), we get a palindrome (471243342174).

The spelling of 241220320032 in words is "two hundred forty-one billion, two hundred twenty million, three hundred twenty thousand, thirty-two".