4414007808 has 360 divisors, whose sum is σ = 15036540948. Its totient is φ = 1242759168.

The previous prime is 4414007729. The next prime is 4414007813. The reversal of 4414007808 is 8087004144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4381380864 + 32626944 = 66192^2 + 5712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25514410 + ... + 25514582.

Almost surely, 2^4414007808 is an apocalyptic number.

4414007808 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 4414007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518270474).

4414007808 is an abundant number, since it is smaller than the sum of its proper divisors (10622533140).

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

4414007808 is a wasteful number, since it uses less digits than its factorization.

4414007808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4414007808 is about 66437.9997290707. Note that the first 3 decimals coincide. The cubic root of 4414007808 is about 1640.3796226090.

Adding to 4414007808 its sum of digits (36), we get a square (4414007844 = 66438²).

The spelling of 4414007808 in words is "four billion, four hundred fourteen million, seven thousand, eight hundred eight".