4000444442200 has 48 divisors (see below), whose sum is σ = 9314152182000. Its totient is φ = 1597920769920.

The previous prime is 4000444442191. The next prime is 4000444442209. The reversal of 4000444442200 is 22444440004.

4000444442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000444442191) and next prime (4000444442209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000444442209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13964140 + ... + 14247739.

It is an arithmetic number, because the mean of its divisors is an integer number (194044837125).

Almost surely, 2^{4000444442200} is an apocalyptic number.

4000444442200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000444442200 is an abundant number, since it is smaller than the sum of its proper divisors (5313707739800).

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

4000444442200 is a wasteful number, since it uses less digits than its factorization.

4000444442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28212604 (or 28212595 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4000444442200 its reverse (22444440004), we get a palindrome (4022888882204).

The spelling of 4000444442200 in words is "four trillion, four hundred forty-four million, four hundred forty-two thousand, two hundred".