4115516320 has 24 divisors (see below), whose sum is σ = 9722907684. Its totient is φ = 1646206464.

The previous prime is 4115516311. The next prime is 4115516329. The reversal of 4115516320 is 236155114.

It is an interprime number because it is at equal distance from previous prime (4115516311) and next prime (4115516329).

It can be written as a sum of positive squares in 2 ways, for example, as 4040382096 + 75134224 = 63564^2 + 8668^2 .

It is not an unprimeable number, because it can be changed into a prime (4115516329) 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 3 ways as a sum of consecutive naturals, for example, 12860829 + ... + 12861148.

Almost surely, 2^4115516320 is an apocalyptic number.

4115516320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115516320 is an abundant number, since it is smaller than the sum of its proper divisors (5607391364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4115516320 is a wasteful number, since it uses less digits than its factorization.

4115516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721992 (or 25721984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 4115516320 is about 64152.2900604491. The cubic root of 4115516320 is about 1602.5371621286.

It can be divided in two parts, 41155 and 16320, that added together give a palindrome (57475).

The spelling of 4115516320 in words is "four billion, one hundred fifteen million, five hundred sixteen thousand, three hundred twenty".