440118441 has 81 divisors (see below), whose sum is σ = 789238359. Its totient is φ = 244699056.

The previous prime is 440118433. The next prime is 440118467. The reversal of 440118441 is 144811044.

The square root of 440118441 is 20979.

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

440118441 is a `hidden beast` number, since 440 + 1 + 184 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393824025 + 46294416 = 19845^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 440118441 - 2³ = 440118433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (440118431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11895075 + ... + 11895111.

Almost surely, 2^440118441 is an apocalyptic number.

440118441 is the 20979-th square number.

440118441 is the 10490-th centered octagonal number.

It is an amenable number.

440118441 is a deficient number, since it is larger than the sum of its proper divisors (349119918).

440118441 is an frugal number, since it uses more digits than its factorization.

440118441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 440118441 is about 760.6587323163.

Adding to 440118441 its reverse (144811044), we get a palindrome (584929485).

The spelling of 440118441 in words is "four hundred forty million, one hundred eighteen thousand, four hundred forty-one".