4406066440224 has 192 divisors, whose sum is σ = 12223331568000. Its totient is φ = 1385838305280.

The previous prime is 4406066440187. The next prime is 4406066440249. The reversal of 4406066440224 is 4220446606044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483700182 + ... + 483709290.

It is an arithmetic number, because the mean of its divisors is an integer number (63663185250).

Almost surely, 2^{4406066440224} 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 4406066440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111665784000).

4406066440224 is an abundant number, since it is smaller than the sum of its proper divisors (7817265127776).

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

4406066440224 is a wasteful number, since it uses less digits than its factorization.

4406066440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 4406066440224 in words is "four trillion, four hundred six billion, sixty-six million, four hundred forty thousand, two hundred twenty-four".