41556045609 has 27 divisors (see below), whose sum is σ = 65010354903. Its totient is φ = 25568058672.

The previous prime is 41556045571. The next prime is 41556045611. The reversal of 41556045609 is 90654065514.

The square root of 41556045609 is 203853.

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

41556045609 is a `hidden beast` number, since 41 + 5 + 560 + 45 + 6 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6147344025 + 35408701584 = 78405^2 + 188172^2 .

It is not a de Polignac number, because 41556045609 - 2¹¹ = 41556043561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41556045689) 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, 7947654 + ... + 7952880.

Almost surely, 2^41556045609 is an apocalyptic number.

41556045609 is the 203853-rd square number.

41556045609 is the 101927-th centered octagonal number.

It is an amenable number.

41556045609 is a deficient number, since it is larger than the sum of its proper divisors (23454309294).

41556045609 is an frugal number, since it uses more digits than its factorization.

41556045609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 41556045609 in words is "forty-one billion, five hundred fifty-six million, forty-five thousand, six hundred nine".