4176216090 has 128 divisors (see below), whose sum is σ = 12014853120. Its totient is φ = 1028312064.

The previous prime is 4176216071. The next prime is 4176216097. The reversal of 4176216090 is 906126714.

4176216090 is a `hidden beast` number, since 41 + 7 + 6 + 2 + 1 + 609 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4176216097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 234687 + ... + 251853.

It is an arithmetic number, because the mean of its divisors is an integer number (93866040).

Almost surely, 2^4176216090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4176216090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007426560).

4176216090 is an abundant number, since it is smaller than the sum of its proper divisors (7838637030).

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

4176216090 is a wasteful number, since it uses less digits than its factorization.

4176216090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4176216090 is about 64623.6496183866. The cubic root of 4176216090 is about 1610.3773519773.

The spelling of 4176216090 in words is "four billion, one hundred seventy-six million, two hundred sixteen thousand, ninety".