27241292241 has 24 divisors (see below), whose sum is σ = 39620169576. Its totient is φ = 18035727360.

The previous prime is 27241292233. The next prime is 27241292263. The reversal of 27241292241 is 14229214272.

It can be written as a sum of positive squares in 4 ways, for example, as 12227936400 + 15013355841 = 110580^2 + 122529^2 .

It is not a de Polignac number, because 27241292241 - 2³ = 27241292233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27241292196 and 27241292205.

It is not an unprimeable number, because it can be changed into a prime (27241292341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455841 + ... + 1474433.

It is an arithmetic number, because the mean of its divisors is an integer number (1650840399).

Almost surely, 2^27241292241 is an apocalyptic number.

It is an amenable number.

27241292241 is a deficient number, since it is larger than the sum of its proper divisors (12378877335).

27241292241 is a wasteful number, since it uses less digits than its factorization.

27241292241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19713 (or 19710 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 27241292241 in words is "twenty-seven billion, two hundred forty-one million, two hundred ninety-two thousand, two hundred forty-one".