4209544161 has 39 divisors (see below), whose sum is σ = 6386056771. Its totient is φ = 2774830608.

The previous prime is 4209544153. The next prime is 4209544177. The reversal of 4209544161 is 1614459024.

The square root of 4209544161 is 64881.

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

4209544161 is a `hidden beast` number, since 4 + 209 + 5 + 441 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 808321761 + 3401222400 = 28431^2 + 58320^2 .

It is not a de Polignac number, because 4209544161 - 2³ = 4209544153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4209544121) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 47298205 + ... + 47298293.

Almost surely, 2^4209544161 is an apocalyptic number.

4209544161 is the 64881-st square number.

4209544161 is the 32441-st centered octagonal number.

It is an amenable number.

4209544161 is a deficient number, since it is larger than the sum of its proper divisors (2176512610).

4209544161 is an frugal number, since it uses more digits than its factorization.

4209544161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 4209544161 is about 1614.6498502522.

Multiplying 4209544161 by its sum of digits (36), we get a square (151543589796 = 389286²).

The spelling of 4209544161 in words is "four billion, two hundred nine million, five hundred forty-four thousand, one hundred sixty-one".