4416328656 has 70 divisors (see below), whose sum is σ = 12829120290. Its totient is φ = 1472105664.

The previous prime is 4416328649. The next prime is 4416328667. The reversal of 4416328656 is 6568236144.

4416328656 is a `hidden beast` number, since 4 + 4 + 1 + 632 + 8 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4171093056 + 245235600 = 64584^2 + 15660^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 177651 + ... + 200978.

It is an arithmetic number, because the mean of its divisors is an integer number (183273147).

Almost surely, 2^4416328656 is an apocalyptic number.

It is an amenable number.

4416328656 is an abundant number, since it is smaller than the sum of its proper divisors (8412791634).

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

4416328656 is an equidigital number, since it uses as much as digits as its factorization.

4416328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378655 (or 378634 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4416328656 is about 66455.4637031448. The cubic root of 4416328656 is about 1640.6670714828.

The spelling of 4416328656 in words is "four billion, four hundred sixteen million, three hundred twenty-eight thousand, six hundred fifty-six".