241213024000 has 576 divisors, whose sum is σ = 673899932160. Its totient is φ = 85974220800.

The previous prime is 241213023991. The next prime is 241213024037. The reversal of 241213024000 is 420312142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3304287964 + ... + 3304288036.

It is an arithmetic number, because the mean of its divisors is an integer number (1169965160).

Almost surely, 2^241213024000 is an apocalyptic number.

241213024000 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 241213024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336949966080).

241213024000 is an abundant number, since it is smaller than the sum of its proper divisors (432686908160).

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

241213024000 is an frugal number, since it uses more digits than its factorization.

241213024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 241213024000 its reverse (420312142), we get a palindrome (241633336142).

The spelling of 241213024000 in words is "two hundred forty-one billion, two hundred thirteen million, twenty-four thousand".