241280675036944 has 135 divisors (see below), whose sum is σ = 486814724528223. Its totient is φ = 115844458313472.

The previous prime is 241280675036941. The next prime is 241280675036963. The reversal of 241280675036944 is 449630576082142.

The square root of 241280675036944 is 15533212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1113995811600 + 240166679225344 = 1055460^2 + 15497312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241280675036941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 646865080342 + ... + 646865080714.

It is a 1-persistent number, because it is pandigital, but 2⋅241280675036944 = 482561350073888 is not.

Almost surely, 2^{241280675036944} is an apocalyptic number.

241280675036944 is the 15533212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241280675036944

241280675036944 is an abundant number, since it is smaller than the sum of its proper divisors (245534049491279).

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

241280675036944 is an frugal number, since it uses more digits than its factorization.

241280675036944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 241280675036944 in words is "two hundred forty-one trillion, two hundred eighty billion, six hundred seventy-five million, thirty-six thousand, nine hundred forty-four".