2144101444040 has 64 divisors (see below), whose sum is σ = 4938366312000. Its totient is φ = 837365098752.

The previous prime is 2144101444039. The next prime is 2144101444063. The reversal of 2144101444040 is 404441014412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2144101443994 and 2144101444012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4139759 + ... + 4628801.

It is an arithmetic number, because the mean of its divisors is an integer number (77161973625).

Almost surely, 2^{2144101444040} is an apocalyptic number.

2144101444040 is a gapful number since it is divisible by the number (20) 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 2144101444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469183156000).

2144101444040 is an abundant number, since it is smaller than the sum of its proper divisors (2794264867960).

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

2144101444040 is a wasteful number, since it uses less digits than its factorization.

2144101444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491646 (or 491642 counting only the distinct ones).

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

Adding to 2144101444040 its reverse (404441014412), we get a palindrome (2548542458452).

The spelling of 2144101444040 in words is "two trillion, one hundred forty-four billion, one hundred one million, four hundred forty-four thousand, forty".