4188966912 has 156 divisors (see below), whose sum is σ = 13032241404. Its totient is φ = 1288765440.

The previous prime is 4188966911. The next prime is 4188966949. The reversal of 4188966912 is 2196698814.

4188966912 is a `hidden beast` number, since 418 + 89 + 66 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 691900416 + 3497066496 = 26304^2 + 59136^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188966911) 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 11 ways as a sum of consecutive naturals, for example, 474862 + ... + 483602.

It is an arithmetic number, because the mean of its divisors is an integer number (83540009).

Almost surely, 2^4188966912 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 4188966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516120702).

4188966912 is an abundant number, since it is smaller than the sum of its proper divisors (8843274492).

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

4188966912 is a wasteful number, since it uses less digits than its factorization.

4188966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8759 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 4188966912 is about 64722.2288862181. The cubic root of 4188966912 is about 1612.0146213888.

It can be divided in two parts, 41889 and 66912, that added together give a palindrome (108801).

The spelling of 4188966912 in words is "four billion, one hundred eighty-eight million, nine hundred sixty-six thousand, nine hundred twelve".