4404402240200 has 96 divisors (see below), whose sum is σ = 10322763110400. Its totient is φ = 1747567664640.

The previous prime is 4404402240187. The next prime is 4404402240229. The reversal of 4404402240200 is 20422044044.

It is a self number, because there is not a number n which added to its sum of digits gives 4404402240200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176949356 + ... + 176974244.

It is an arithmetic number, because the mean of its divisors is an integer number (107528782400).

Almost surely, 2^{4404402240200} is an apocalyptic number.

4404402240200 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 4404402240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161381555200).

4404402240200 is an abundant number, since it is smaller than the sum of its proper divisors (5918360870200).

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

4404402240200 is a wasteful number, since it uses less digits than its factorization.

4404402240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31999 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4404402240200 its reverse (20422044044), we get a palindrome (4424824284244).

The spelling of 4404402240200 in words is "four trillion, four hundred four billion, four hundred two million, two hundred forty thousand, two hundred".