4005550116 has 120 divisors (see below), whose sum is σ = 10690800120. Its totient is φ = 1307404800.

The previous prime is 4005550111. The next prime is 4005550121. The reversal of 4005550116 is 6110555004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4005550111) and next prime (4005550121).

It can be written as a sum of positive squares in 4 ways, for example, as 99800100 + 3905750016 = 9990^2 + 62496^2 .

It is a super-2 number, since 2×4005550116² = 32088863463575226912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4005550116.

It is not an unprimeable number, because it can be changed into a prime (4005550111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7687936 + ... + 7688456.

It is an arithmetic number, because the mean of its divisors is an integer number (89090001).

Almost surely, 2^4005550116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005550116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345400060).

4005550116 is an abundant number, since it is smaller than the sum of its proper divisors (6685250004).

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

4005550116 is a wasteful number, since it uses less digits than its factorization.

4005550116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 4005550116 is about 63289.4155131804. The cubic root of 4005550116 is about 1588.1349009919.

The spelling of 4005550116 in words is "four billion, five million, five hundred fifty thousand, one hundred sixteen".