4827331441 has 27 divisors (see below), whose sum is σ = 5292413217. Its totient is φ = 4402189440.

The previous prime is 4827331427. The next prime is 4827331447. The reversal of 4827331441 is 1441337284.

The square root of 4827331441 is 69479.

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

It can be written as a sum of positive squares in 4 ways, for example, as 445421025 + 4381910416 = 21105^2 + 66196^2 .

It is not a de Polignac number, because 4827331441 - 2²³ = 4818942833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4827331441.

It is not an unprimeable number, because it can be changed into a prime (4827331447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72049690 + ... + 72049756.

Almost surely, 2^4827331441 is an apocalyptic number.

4827331441 is the 69479-th square number.

4827331441 is the 34740-th centered octagonal number.

It is an amenable number.

4827331441 is a deficient number, since it is larger than the sum of its proper divisors (465081776).

4827331441 is an frugal number, since it uses more digits than its factorization.

4827331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The cubic root of 4827331441 is about 1690.0609715057.

The spelling of 4827331441 in words is "four billion, eight hundred twenty-seven million, three hundred thirty-one thousand, four hundred forty-one".