1144050144304 has 160 divisors (see below), whose sum is σ = 2482761093120. Its totient is φ = 508098318336.

The previous prime is 1144050144301. The next prime is 1144050144311. The reversal of 1144050144304 is 4034410504411.

It is not an unprimeable number, because it can be changed into a prime (1144050144301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394090917 + ... + 394093819.

It is an arithmetic number, because the mean of its divisors is an integer number (15517256832).

Almost surely, 2^{1144050144304} 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 1144050144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241380546560).

1144050144304 is an abundant number, since it is smaller than the sum of its proper divisors (1338710948816).

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

1144050144304 is a wasteful number, since it uses less digits than its factorization.

1144050144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 1144050144304 its reverse (4034410504411), we get a palindrome (5178460648715).

The spelling of 1144050144304 in words is "one trillion, one hundred forty-four billion, fifty million, one hundred forty-four thousand, three hundred four".