440456541561 has 45 divisors (see below), whose sum is σ = 676568898621. Its totient is φ = 285558187968.

The previous prime is 440456541521. The next prime is 440456541563. The reversal of 440456541561 is 165145654044.

The square root of 440456541561 is 663669.

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

440456541561 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 56 + 541 + 56 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181151533161 + 259305008400 = 425619^2 + 509220^2 .

It is not a de Polignac number, because 440456541561 - 2³¹ = 438309057913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (440456541563) 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, 221000781 + ... + 221002773.

Almost surely, 2^440456541561 is an apocalyptic number.

440456541561 is the 663669-th square number.

440456541561 is the 331835-th centered octagonal number.

It is an amenable number.

440456541561 is a deficient number, since it is larger than the sum of its proper divisors (236112357060).

440456541561 is an frugal number, since it uses more digits than its factorization.

440456541561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 440456541561 in words is "four hundred forty billion, four hundred fifty-six million, five hundred forty-one thousand, five hundred sixty-one".