1002144044144 has 80 divisors (see below), whose sum is σ = 2058320342400. Its totient is φ = 471349331712.

The previous prime is 1002144044089. The next prime is 1002144044147. The reversal of 1002144044144 is 4414404412001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002144044147) 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 15 ways as a sum of consecutive naturals, for example, 26134874 + ... + 26173190.

It is an arithmetic number, because the mean of its divisors is an integer number (25729004280).

Almost surely, 2^{1002144044144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002144044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029160171200).

1002144044144 is an abundant number, since it is smaller than the sum of its proper divisors (1056176298256).

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

1002144044144 is a wasteful number, since it uses less digits than its factorization.

1002144044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38950 (or 38944 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 1002144044144 its reverse (4414404412001), we get a palindrome (5416548456145).

The spelling of 1002144044144 in words is "one trillion, two billion, one hundred forty-four million, forty-four thousand, one hundred forty-four".