4166352000 has 192 divisors, whose sum is σ = 14962928760. Its totient is φ = 1110988800.

The previous prime is 4166351999. The next prime is 4166352011. The reversal of 4166352000 is 2536614.

4166352000 is a `hidden beast` number, since 4 + 1 + 6 + 635 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1273633344 + 2892718656 = 35688^2 + 53784^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 129534 + ... + 158466.

Almost surely, 2^4166352000 is an apocalyptic number.

4166352000 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 4166352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481464380).

4166352000 is an abundant number, since it is smaller than the sum of its proper divisors (10796576760).

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

4166352000 is a wasteful number, since it uses less digits than its factorization.

4166352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968 (or 28943 counting only the distinct ones).

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

The square root of 4166352000 is about 64547.2849932513. The cubic root of 4166352000 is about 1609.1084656794.

Adding to 4166352000 its reverse (2536614), we get a palindrome (4168888614).

The spelling of 4166352000 in words is "four billion, one hundred sixty-six million, three hundred fifty-two thousand".