4406224000 has 64 divisors (see below), whose sum is σ = 10955014200. Its totient is φ = 1762483200.

The previous prime is 4406223989. The next prime is 4406224001. The reversal of 4406224000 is 4226044.

It can be written as a sum of positive squares in 4 ways, for example, as 2236154944 + 2170069056 = 47288^2 + 46584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4406224001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121695 + ... + 153694.

Almost surely, 2^4406224000 is an apocalyptic number.

4406224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4406224000 is an abundant number, since it is smaller than the sum of its proper divisors (6548790200).

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

4406224000 is an equidigital number, since it uses as much as digits as its factorization.

4406224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275418 (or 275396 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4406224000 is about 66379.3943931398. The cubic root of 4406224000 is about 1639.4148219597.

The spelling of 4406224000 in words is "four billion, four hundred six million, two hundred twenty-four thousand".