4444442414200 has 96 divisors (see below), whose sum is σ = 10877843617200. Its totient is φ = 1684108247040.

The previous prime is 4444442414197. The next prime is 4444442414201. The reversal of 4444442414200 is 24142444444.

It is a self number, because there is not a number n which added to its sum of digits gives 4444442414200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444442414201) by changing a digit.

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, 101502712 + ... + 101546488.

Almost surely, 2^{4444442414200} is an apocalyptic number.

4444442414200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444442414200 is an abundant number, since it is smaller than the sum of its proper divisors (6433401203000).

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

4444442414200 is a wasteful number, since it uses less digits than its factorization.

4444442414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70529 (or 70520 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 37.

Adding to 4444442414200 its reverse (24142444444), we get a palindrome (4468584858644).

The spelling of 4444442414200 in words is "four trillion, four hundred forty-four billion, four hundred forty-two million, four hundred fourteen thousand, two hundred".