4066812288 has 576 divisors, whose sum is σ = 15519928320. Its totient is φ = 992839680.

The previous prime is 4066812259. The next prime is 4066812313. The reversal of 4066812288 is 8822186604.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 32022081 + ... + 32022207.

It is an arithmetic number, because the mean of its divisors is an integer number (26944320).

Almost surely, 2^4066812288 is an apocalyptic number.

4066812288 is a gapful number since it is divisible by the number (48) 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 4066812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759964160).

4066812288 is an abundant number, since it is smaller than the sum of its proper divisors (11453116032).

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

4066812288 is a wasteful number, since it uses less digits than its factorization.

4066812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4066812288 is about 63771.5633178300. The cubic root of 4066812288 is about 1596.1904534624.

The spelling of 4066812288 in words is "four billion, sixty-six million, eight hundred twelve thousand, two hundred eighty-eight".