4066451206272 has 2016 divisors, whose sum is σ = 15999169678380. Its totient is φ = 1019217862656.

The previous prime is 4066451206189. The next prime is 4066451206291. The reversal of 4066451206272 is 2726021546604.

4066451206272 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 4 + 5 + 12 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4062224126016 + 4227080256 = 2015496^2 + 65016^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 94568632683 + ... + 94568632725.

Almost surely, 2^{4066451206272} is an apocalyptic number.

4066451206272 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 4066451206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999584839190).

4066451206272 is an abundant number, since it is smaller than the sum of its proper divisors (11932718472108).

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

4066451206272 is an equidigital number, since it uses as much as digits as its factorization.

4066451206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4066451206272 in words is "four trillion, sixty-six billion, four hundred fifty-one million, two hundred six thousand, two hundred seventy-two".