4481042688 has 288 divisors, whose sum is σ = 14103600000. Its totient is φ = 1399431168.

The previous prime is 4481042681. The next prime is 4481042711. The reversal of 4481042688 is 8862401844.

4481042688 is a `hidden beast` number, since 448 + 104 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4481042681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19567758 + ... + 19567986.

Almost surely, 2^4481042688 is an apocalyptic number.

4481042688 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 4481042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051800000).

4481042688 is an abundant number, since it is smaller than the sum of its proper divisors (9622557312).

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

4481042688 is a wasteful number, since it uses less digits than its factorization.

4481042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4481042688 is about 66940.5907353677. The cubic root of 4481042688 is about 1648.6420032981.

The spelling of 4481042688 in words is "four billion, four hundred eighty-one million, forty-two thousand, six hundred eighty-eight".