4406395968 has 168 divisors, whose sum is σ = 13806269568. Its totient is φ = 1335426048.

The previous prime is 4406395933. The next prime is 4406395969. The reversal of 4406395968 is 8695936044.

4406395968 is a `hidden beast` number, since 4 + 40 + 6 + 3 + 9 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4406395969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497305 + ... + 506087.

It is an arithmetic number, because the mean of its divisors is an integer number (82180176).

Almost surely, 2^4406395968 is an apocalyptic number.

4406395968 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 4406395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903134784).

4406395968 is an abundant number, since it is smaller than the sum of its proper divisors (9399873600).

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

4406395968 is a wasteful number, since it uses less digits than its factorization.

4406395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 4406395968 is about 66380.6897222377. The cubic root of 4406395968 is about 1639.4361496105.

The spelling of 4406395968 in words is "four billion, four hundred six million, three hundred ninety-five thousand, nine hundred sixty-eight".