44200200224 has 96 divisors (see below), whose sum is σ = 92588832000. Its totient is φ = 20742952960.

The previous prime is 44200200217. The next prime is 44200200229. The reversal of 44200200224 is 42200200244.

It is a junction number, because it is equal to n+sod(n) for n = 44200200196 and 44200200205.

It is not an unprimeable number, because it can be changed into a prime (44200200229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3632102 + ... + 3644250.

It is an arithmetic number, because the mean of its divisors is an integer number (964467000).

Almost surely, 2^44200200224 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 44200200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46294416000).

44200200224 is an abundant number, since it is smaller than the sum of its proper divisors (48388631776).

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

44200200224 is a wasteful number, since it uses less digits than its factorization.

44200200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44200200224 its sum of digits (20), we get a palindrome (44200200244).

Adding to 44200200224 its reverse (42200200244), we get a palindrome (86400400468).

The spelling of 44200200224 in words is "forty-four billion, two hundred million, two hundred thousand, two hundred twenty-four".