442066744161 has 45 divisors (see below), whose sum is σ = 745084735889. Its totient is φ = 252553718088.

The previous prime is 442066744139. The next prime is 442066744211. The reversal of 442066744161 is 161447660244.

The square root of 442066744161 is 664881.

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

442066744161 is a `hidden beast` number, since 4 + 420 + 6 + 67 + 4 + 4 + 161 = 666.

It is not a de Polignac number, because 442066744161 - 2¹¹ = 442066742113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442066744121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97735246 + ... + 97739768.

Almost surely, 2^442066744161 is an apocalyptic number.

442066744161 is the 664881-st square number.

442066744161 is the 332441-st centered octagonal number.

It is an amenable number.

442066744161 is a deficient number, since it is larger than the sum of its proper divisors (303017991728).

442066744161 is an frugal number, since it uses more digits than its factorization.

442066744161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 442066744161 in words is "four hundred forty-two billion, sixty-six million, seven hundred forty-four thousand, one hundred sixty-one".