41114456289 has 9 divisors (see below), whose sum is σ = 59388426643. Its totient is φ = 27409231992.

The previous prime is 41114456281. The next prime is 41114456309. The reversal of 41114456289 is 98265441114.

The square root of 41114456289 is 202767.

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

41114456289 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 4 + 4 + 562 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22087012689 + 19027443600 = 148617^2 + 137940^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 41114456289 - 2³ = 41114456281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41114456281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 574507 + ... + 642095.

Almost surely, 2^41114456289 is an apocalyptic number.

41114456289 is the 202767-th square number.

41114456289 is the 101384-th centered octagonal number.

It is an amenable number.

41114456289 is a deficient number, since it is larger than the sum of its proper divisors (18273970354).

41114456289 is an frugal number, since it uses more digits than its factorization.

41114456289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135184 (or 67592 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 41114456289 in words is "forty-one billion, one hundred fourteen million, four hundred fifty-six thousand, two hundred eighty-nine".