1144111340424 has 128 divisors (see below), whose sum is σ = 3147090186240. Its totient is φ = 344477048832.

The previous prime is 1144111340417. The next prime is 1144111340467. The reversal of 1144111340424 is 4240431114411.

It is a junction number, because it is equal to n+sod(n) for n = 1144111340391 and 1144111340400.

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 31 ways as a sum of consecutive naturals, for example, 2694784 + ... + 3090320.

It is an arithmetic number, because the mean of its divisors is an integer number (24586642080).

Almost surely, 2^{1144111340424} 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 1144111340424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573545093120).

1144111340424 is an abundant number, since it is smaller than the sum of its proper divisors (2002978845816).

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

1144111340424 is a wasteful number, since it uses less digits than its factorization.

1144111340424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395759 (or 395755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1144111340424 its reverse (4240431114411), we get a palindrome (5384542454835).

The spelling of 1144111340424 in words is "one trillion, one hundred forty-four billion, one hundred eleven million, three hundred forty thousand, four hundred twenty-four".