4057984441 has 6 divisors (see below), whose sum is σ = 4720512570. Its totient is φ = 3478272336.

The previous prime is 4057984349. The next prime is 4057984493. The reversal of 4057984441 is 1444897504.

It can be written as a sum of positive squares in only one way, i.e., 4044324025 + 13660416 = 63595^2 + 3696^2 .

It is not a de Polignac number, because 4057984441 - 2¹¹ = 4057982393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4057984391 and 4057984400.

It is not an unprimeable number, because it can be changed into a prime (4057984241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41407956 + ... + 41408053.

It is an arithmetic number, because the mean of its divisors is an integer number (786752095).

Almost surely, 2^4057984441 is an apocalyptic number.

It is an amenable number.

4057984441 is a deficient number, since it is larger than the sum of its proper divisors (662528129).

4057984441 is an equidigital number, since it uses as much as digits as its factorization.

4057984441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82816023 (or 82816016 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 4057984441 is about 63702.3111119212. The cubic root of 4057984441 is about 1595.0346642624.

The spelling of 4057984441 in words is "four billion, fifty-seven million, nine hundred eighty-four thousand, four hundred forty-one".