241221360844800 has 4608 divisors, whose sum is σ = 1107470617344000. Its totient is φ = 49941577728000.

The previous prime is 241221360844787. The next prime is 241221360844847. The reversal of 241221360844800 is 8448063122142.

241221360844800 is a `hidden beast` number, since 2 + 4 + 1 + 22 + 13 + 60 + 84 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1332714700710 + ... + 1332714700890.

It is an arithmetic number, because the mean of its divisors is an integer number (240336505500).

Almost surely, 2^{241221360844800} is an apocalyptic number.

241221360844800 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 241221360844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553735308672000).

241221360844800 is an abundant number, since it is smaller than the sum of its proper divisors (866249256499200).

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

241221360844800 is a wasteful number, since it uses less digits than its factorization.

241221360844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 241221360844800 in words is "two hundred forty-one trillion, two hundred twenty-one billion, three hundred sixty million, eight hundred forty-four thousand, eight hundred".