4407364224 has 160 divisors (see below), whose sum is σ = 13471910100. Its totient is φ = 1429291008.

The previous prime is 4407364217. The next prime is 4407364237. The reversal of 4407364224 is 4224637044.

4407364224 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 3 + 642 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4378204224 + 29160000 = 66168^2 + 5400^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 377872 + ... + 389360.

Almost surely, 2^4407364224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4407364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735955050).

4407364224 is an abundant number, since it is smaller than the sum of its proper divisors (9064545876).

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

4407364224 is a wasteful number, since it uses less digits than its factorization.

4407364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4407364224 is about 66387.9825269604. The cubic root of 4407364224 is about 1639.5562233732.

The spelling of 4407364224 in words is "four billion, four hundred seven million, three hundred sixty-four thousand, two hundred twenty-four".