4406620320 has 576 divisors, whose sum is σ = 16940327040. Its totient is φ = 1077608448.

The previous prime is 4406620319. The next prime is 4406620343. The reversal of 4406620320 is 230266044.

4406620320 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 620 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 38996584 + ... + 38996696.

It is an arithmetic number, because the mean of its divisors is an integer number (29410290).

Almost surely, 2^4406620320 is an apocalyptic number.

4406620320 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 4406620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470163520).

4406620320 is an abundant number, since it is smaller than the sum of its proper divisors (12533706720).

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

4406620320 is a wasteful number, since it uses less digits than its factorization.

4406620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4406620320 is about 66382.3795897676. The cubic root of 4406620320 is about 1639.4639731455.

Adding to 4406620320 its reverse (230266044), we get a palindrome (4636886364).

The spelling of 4406620320 in words is "four billion, four hundred six million, six hundred twenty thousand, three hundred twenty".