241728010368 has 256 divisors, whose sum is σ = 711867139200. Its totient is φ = 72214511616.

The previous prime is 241728010351. The next prime is 241728010387. The reversal of 241728010368 is 863010827142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25659163 + ... + 25668581.

Almost surely, 2^241728010368 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 241728010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355933569600).

241728010368 is an abundant number, since it is smaller than the sum of its proper divisors (470139128832).

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

241728010368 is a wasteful number, since it uses less digits than its factorization.

241728010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 241728010368 in words is "two hundred forty-one billion, seven hundred twenty-eight million, ten thousand, three hundred sixty-eight".