4416304128 has 88 divisors (see below), whose sum is σ = 11790720000. Its totient is φ = 1469644800.

The previous prime is 4416304103. The next prime is 4416304147. The reversal of 4416304128 is 8214036144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3535248 + ... + 3536496.

Almost surely, 2^4416304128 is an apocalyptic number.

4416304128 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 4416304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895360000).

4416304128 is an abundant number, since it is smaller than the sum of its proper divisors (7374415872).

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

4416304128 is a wasteful number, since it uses less digits than its factorization.

4416304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4416304128 is about 66455.2791582430. The cubic root of 4416304128 is about 1640.6640340913.

The spelling of 4416304128 in words is "four billion, four hundred sixteen million, three hundred four thousand, one hundred twenty-eight".