241012728843936 has 576 divisors, whose sum is σ = 779042377580544. Its totient is φ = 64945320652800.

The previous prime is 241012728843881. The next prime is 241012728843941. The reversal of 241012728843936 is 639348827210142.

It is a self number, because there is not a number n which added to its sum of digits gives 241012728843936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5781463285 + ... + 5781504971.

It is an arithmetic number, because the mean of its divisors is an integer number (1352504127744).

Almost surely, 2^{241012728843936} 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 241012728843936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389521188790272).

241012728843936 is an abundant number, since it is smaller than the sum of its proper divisors (538029648736608).

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

241012728843936 is a wasteful number, since it uses less digits than its factorization.

241012728843936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42753 (or 42738 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 241012728843936 in words is "two hundred forty-one trillion, twelve billion, seven hundred twenty-eight million, eight hundred forty-three thousand, nine hundred thirty-six".