4115882721 has 16 divisors (see below), whose sum is σ = 5509972928. Its totient is φ = 2732875200.

The previous prime is 4115882717. The next prime is 4115882737. The reversal of 4115882721 is 1272885114.

It is not a de Polignac number, because 4115882721 - 2² = 4115882717 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 4115882721.

It is not an unprimeable number, because it can be changed into a prime (4115882761) 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 15 ways as a sum of consecutive naturals, for example, 1608375 + ... + 1610931.

It is an arithmetic number, because the mean of its divisors is an integer number (344373308).

Almost surely, 2^4115882721 is an apocalyptic number.

It is an amenable number.

4115882721 is a deficient number, since it is larger than the sum of its proper divisors (1394090207).

4115882721 is a wasteful number, since it uses less digits than its factorization.

4115882721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512.

The product of its digits is 35840, while the sum is 39.

The square root of 4115882721 is about 64155.1457094441. The cubic root of 4115882721 is about 1602.5847182349.

The spelling of 4115882721 in words is "four billion, one hundred fifteen million, eight hundred eighty-two thousand, seven hundred twenty-one".