4404200252200 has 144 divisors (see below), whose sum is σ = 11982895233120. Its totient is φ = 1500968972160.

The previous prime is 4404200252183. The next prime is 4404200252237. The reversal of 4404200252200 is 22520024044.

It is a super-2 number, since 2×4404200252200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 291067 + ... + 2982133.

It is an arithmetic number, because the mean of its divisors is an integer number (83214550230).

Almost surely, 2^{4404200252200} is an apocalyptic number.

4404200252200 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 4404200252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991447616560).

4404200252200 is an abundant number, since it is smaller than the sum of its proper divisors (7578694980920).

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

4404200252200 is a wasteful number, since it uses less digits than its factorization.

4404200252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691264 (or 2691248 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 4404200252200 its reverse (22520024044), we get a palindrome (4426720276244).

The spelling of 4404200252200 in words is "four trillion, four hundred four billion, two hundred million, two hundred fifty-two thousand, two hundred".