4089829104 has 80 divisors (see below), whose sum is σ = 11871338400. Its totient is φ = 1347945984.

The previous prime is 4089829099. The next prime is 4089829123. The reversal of 4089829104 is 4019289804.

It is a self number, because there is not a number n which added to its sum of digits gives 4089829104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14739 + ... + 91634.

It is an arithmetic number, because the mean of its divisors is an integer number (148391730).

Almost surely, 2^4089829104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089829104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935669200).

4089829104 is an abundant number, since it is smaller than the sum of its proper divisors (7781509296).

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

4089829104 is a wasteful number, since it uses less digits than its factorization.

4089829104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106479 (or 106467 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4089829104 is about 63951.7717033703. The cubic root of 4089829104 is about 1599.1960940688.

The spelling of 4089829104 in words is "four billion, eighty-nine million, eight hundred twenty-nine thousand, one hundred four".