4144413442200 has 192 divisors, whose sum is σ = 13273237125120. Its totient is φ = 1068629760000.

The previous prime is 4144413442199. The next prime is 4144413442201. The reversal of 4144413442200 is 22443144414.

It is an interprime number because it is at equal distance from previous prime (4144413442199) and next prime (4144413442201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144413442201) by changing a digit.

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, 22245837 + ... + 22431363.

It is an arithmetic number, because the mean of its divisors is an integer number (69131443360).

Almost surely, 2^{4144413442200} is an apocalyptic number.

4144413442200 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 4144413442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636618562560).

4144413442200 is an abundant number, since it is smaller than the sum of its proper divisors (9128823682920).

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

4144413442200 is a wasteful number, since it uses less digits than its factorization.

4144413442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186778 (or 186769 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4144413442200 its reverse (22443144414), we get a palindrome (4166856586614).

The spelling of 4144413442200 in words is "four trillion, one hundred forty-four billion, four hundred thirteen million, four hundred forty-two thousand, two hundred".