11041596241 has 27 divisors (see below), whose sum is σ = 12251792721. Its totient is φ = 9946357824.

The previous prime is 11041596229. The next prime is 11041596257. The reversal of 11041596241 is 14269514011.

The square root of 11041596241 is 105079.

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 981506241 + 10060090000 = 31329^2 + 100300^2 .

It is not a de Polignac number, because 11041596241 - 2¹⁵ = 11041563473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11041596197 and 11041596206.

It is not an unprimeable number, because it can be changed into a prime (11041596541) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 80595525 + ... + 80595661.

Almost surely, 2^11041596241 is an apocalyptic number.

11041596241 is the 105079-th square number.

11041596241 is the 52540-th centered octagonal number.

It is an amenable number.

11041596241 is a deficient number, since it is larger than the sum of its proper divisors (1210196480).

11041596241 is an frugal number, since it uses more digits than its factorization.

With its predecessor (11041596240) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (418).

11041596241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 11041596241 in words is "eleven billion, forty-one million, five hundred ninety-six thousand, two hundred forty-one".