4066166016 has 216 divisors, whose sum is σ = 12950342496. Its totient is φ = 1216696320.

The previous prime is 4066165993. The next prime is 4066166047. The reversal of 4066166016 is 6106616604.

4066166016 is a `hidden beast` number, since 40 + 6 + 6 + 1 + 6 + 601 + 6 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 2102586 + ... + 2104518.

Almost surely, 2^4066166016 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 4066166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475171248).

4066166016 is an abundant number, since it is smaller than the sum of its proper divisors (8884176480).

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

4066166016 is a wasteful number, since it uses less digits than its factorization.

4066166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4066166016 is about 63766.4960304391. The cubic root of 4066166016 is about 1596.1058968308.

The spelling of 4066166016 in words is "four billion, sixty-six million, one hundred sixty-six thousand, sixteen".