4005282816 has 220 divisors, whose sum is σ = 12249608272. Its totient is φ = 1302884352.

The previous prime is 4005282793. The next prime is 4005282833. The reversal of 4005282816 is 6182825004.

It is a super-2 number, since 2×4005282816² = 32084580872289779712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3566031 + ... + 3567153.

Almost surely, 2^4005282816 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 4005282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124804136).

4005282816 is an abundant number, since it is smaller than the sum of its proper divisors (8244325456).

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

4005282816 is a wasteful number, since it uses less digits than its factorization.

4005282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4005282816 is about 63287.3037504364. The cubic root of 4005282816 is about 1588.0995735180.

The spelling of 4005282816 in words is "four billion, five million, two hundred eighty-two thousand, eight hundred sixteen".