4406129568 has 96 divisors (see below), whose sum is σ = 13014086400. Its totient is φ = 1450096128.

The previous prime is 4406129543. The next prime is 4406129569. The reversal of 4406129568 is 8659216044.

4406129568 is a `hidden beast` number, since 4 + 4 + 0 + 61 + 29 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4406129569) 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 15 ways as a sum of consecutive naturals, for example, 35980 + ... + 100532.

It is an arithmetic number, because the mean of its divisors is an integer number (135563400).

Almost surely, 2^4406129568 is an apocalyptic number.

4406129568 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 4406129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507043200).

4406129568 is an abundant number, since it is smaller than the sum of its proper divisors (8607956832).

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

4406129568 is a wasteful number, since it uses less digits than its factorization.

4406129568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64651 (or 64637 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4406129568 is about 66378.6830842553. The cubic root of 4406129568 is about 1639.4031101685.

The spelling of 4406129568 in words is "four billion, four hundred six million, one hundred twenty-nine thousand, five hundred sixty-eight".