4066056000 has 168 divisors, whose sum is σ = 14545217544. Its totient is φ = 1084262400.

The previous prime is 4066055969. The next prime is 4066056013. The reversal of 4066056000 is 6506604.

4066056000 is a `hidden beast` number, since 40 + 6 + 60 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 4020574464 = 6744^2 + 63408^2 .

It is a super-2 number, since 2×4066056000² = 33065622790272000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43764 + ... + 100236.

Almost surely, 2^4066056000 is an apocalyptic number.

4066056000 is a gapful number since it is divisible by the number (40) 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 4066056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272608772).

4066056000 is an abundant number, since it is smaller than the sum of its proper divisors (10479161544).

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

4066056000 is a wasteful number, since it uses less digits than its factorization.

4066056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56506 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4066056000 is about 63765.6333772354. The cubic root of 4066056000 is about 1596.0915017168.

The spelling of 4066056000 in words is "four billion, sixty-six million, fifty-six thousand", and thus it is an eban number.