4005806112 has 288 divisors, whose sum is σ = 14663061504. Its totient is φ = 1006732800.

The previous prime is 4005806053. The next prime is 4005806113. The reversal of 4005806112 is 2116085004.

4005806112 is a `hidden beast` number, since 40 + 0 + 5 + 8 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4005806113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684543 + ... + 690369.

It is an arithmetic number, because the mean of its divisors is an integer number (50913408).

Almost surely, 2^4005806112 is an apocalyptic number.

4005806112 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 4005806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331530752).

4005806112 is an abundant number, since it is smaller than the sum of its proper divisors (10657255392).

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

4005806112 is a wasteful number, since it uses less digits than its factorization.

4005806112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4005806112 is about 63291.4379043485. The cubic root of 4005806112 is about 1588.1687330091.

The spelling of 4005806112 in words is "four billion, five million, eight hundred six thousand, one hundred twelve".