4444400011200 has 336 divisors, whose sum is σ = 15192725520000. Its totient is φ = 1136067932160.

The previous prime is 4444400011151. The next prime is 4444400011211. The reversal of 4444400011200 is 21100044444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19233951 + ... + 19463649.

It is an arithmetic number, because the mean of its divisors is an integer number (45216445000).

Almost surely, 2^{4444400011200} is an apocalyptic number.

4444400011200 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 4444400011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596362760000).

4444400011200 is an abundant number, since it is smaller than the sum of its proper divisors (10748325508800).

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

4444400011200 is a wasteful number, since it uses less digits than its factorization.

4444400011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229892 (or 229877 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4444400011200 its reverse (21100044444), we get a palindrome (4465500055644).

The spelling of 4444400011200 in words is "four trillion, four hundred forty-four billion, four hundred million, eleven thousand, two hundred".