4216082688 has 108 divisors (see below), whose sum is σ = 12871184508. Its totient is φ = 1322680320.

The previous prime is 4216082683. The next prime is 4216082707. The reversal of 4216082688 is 8862806124.

It can be written as a sum of positive squares in 2 ways, for example, as 2074984704 + 2141097984 = 45552^2 + 46272^2 .

It is not an unprimeable number, because it can be changed into a prime (4216082683) 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 11 ways as a sum of consecutive naturals, for example, 14653 + ... + 92988.

Almost surely, 2^4216082688 is an apocalyptic number.

4216082688 is a gapful number since it is divisible by the number (48) 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 4216082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435592254).

4216082688 is an abundant number, since it is smaller than the sum of its proper divisors (8655101820).

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

4216082688 is a wasteful number, since it uses less digits than its factorization.

4216082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107680 (or 107663 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4216082688 is about 64931.3690599544. The cubic root of 4216082688 is about 1615.4854094637.

The spelling of 4216082688 in words is "four billion, two hundred sixteen million, eighty-two thousand, six hundred eighty-eight".