4066084512 has 432 divisors, whose sum is σ = 14418698112. Its totient is φ = 1063756800.

The previous prime is 4066084511. The next prime is 4066084553. The reversal of 4066084512 is 2154806604.

4066084512 is a `hidden beast` number, since 4 + 0 + 6 + 60 + 84 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4066084511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26927637 + ... + 26927787.

It is an arithmetic number, because the mean of its divisors is an integer number (33376616).

Almost surely, 2^4066084512 is an apocalyptic number.

4066084512 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 4066084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209349056).

4066084512 is an abundant number, since it is smaller than the sum of its proper divisors (10352613600).

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

4066084512 is a wasteful number, since it uses less digits than its factorization.

4066084512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4066084512 is about 63765.8569455473. The cubic root of 4066084512 is about 1596.0952324127.

The spelling of 4066084512 in words is "four billion, sixty-six million, eighty-four thousand, five hundred twelve".