4404160224000 has 432 divisors, whose sum is σ = 15952560571584. Its totient is φ = 1166653440000.

The previous prime is 4404160223987. The next prime is 4404160224019. The reversal of 4404160224000 is 4220614044.

It is a happy number.

4404160224000 is a `hidden beast` number, since 4 + 4 + 0 + 416 + 0 + 2 + 240 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43437364 + ... + 43538636.

Almost surely, 2^{4404160224000} is an apocalyptic number.

4404160224000 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 4404160224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976280285792).

4404160224000 is an abundant number, since it is smaller than the sum of its proper divisors (11548400347584).

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

4404160224000 is a wasteful number, since it uses less digits than its factorization.

4404160224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101461 (or 101434 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4404160224000 its reverse (4220614044), we get a palindrome (4408380838044).

The spelling of 4404160224000 in words is "four trillion, four hundred four billion, one hundred sixty million, two hundred twenty-four thousand".