4458366441 has 21 divisors (see below), whose sum is σ = 6687195879. Its totient is φ = 2971042416.

The previous prime is 4458366389. The next prime is 4458366491. The reversal of 4458366441 is 1446638544.

The square root of 4458366441 is 66771.

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

4458366441 is a `hidden beast` number, since 4 + 4 + 583 + 6 + 64 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3322946025 + 1135420416 = 57645^2 + 33696^2 .

It is not a de Polignac number, because 4458366441 - 2²⁵ = 4424812009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4458366491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1801581 + ... + 1804053.

It is an arithmetic number, because the mean of its divisors is an integer number (318437899).

Almost surely, 2^4458366441 is an apocalyptic number.

4458366441 is the 66771-st square number.

4458366441 is the 33386-th centered octagonal number.

It is an amenable number.

4458366441 is a deficient number, since it is larger than the sum of its proper divisors (2228829438).

4458366441 is an frugal number, since it uses more digits than its factorization.

4458366441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 2476 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The cubic root of 4458366441 is about 1645.8563232771.

The spelling of 4458366441 in words is "four billion, four hundred fifty-eight million, three hundred sixty-six thousand, four hundred forty-one".