4406008320 has 480 divisors, whose sum is σ = 18476460288. Its totient is φ = 947257344.

The previous prime is 4406008307. The next prime is 4406008339. The reversal of 4406008320 is 238006044.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740957 + ... + 2742563.

Almost surely, 2^4406008320 is an apocalyptic number.

4406008320 is a gapful number since it is divisible by the number (40) 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 4406008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238230144).

4406008320 is an abundant number, since it is smaller than the sum of its proper divisors (14070451968).

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

4406008320 is a wasteful number, since it uses less digits than its factorization.

4406008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4406008320 is about 66377.7697727183. The cubic root of 4406008320 is about 1639.3880723166.

The spelling of 4406008320 in words is "four billion, four hundred six million, eight thousand, three hundred twenty".