4005085812 has 96 divisors (see below), whose sum is σ = 11514488832. Its totient is φ = 1055120256.

The previous prime is 4005085787. The next prime is 4005085859. The reversal of 4005085812 is 2185805004.

It is a super-2 number, since 2×4005085812² = 32081424722967398688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1491423 + ... + 1494105.

It is an arithmetic number, because the mean of its divisors is an integer number (119942592).

Almost surely, 2^4005085812 is an apocalyptic number.

4005085812 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005085812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757244416).

4005085812 is an abundant number, since it is smaller than the sum of its proper divisors (7509403020).

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

4005085812 is a wasteful number, since it uses less digits than its factorization.

4005085812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 4005085812 is about 63285.7473053767. The cubic root of 4005085812 is about 1588.0735356481.

The spelling of 4005085812 in words is "four billion, five million, eighty-five thousand, eight hundred twelve".