1142144004240 has 240 divisors, whose sum is σ = 3877844770800. Its totient is φ = 301235355648.

The previous prime is 1142144004229. The next prime is 1142144004247. The reversal of 1142144004240 is 424004412411.

It is a happy number.

1142144004240 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 14 + 400 + 4 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 210934444176 + 931209560064 = 459276^2 + 964992^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1142144004240² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1142144004247) 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, 44642332 + ... + 44667908.

It is an arithmetic number, because the mean of its divisors is an integer number (16157686545).

Almost surely, 2^{1142144004240} is an apocalyptic number.

1142144004240 is a gapful number since it is divisible by the number (10) 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 1142144004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938922385400).

1142144004240 is an abundant number, since it is smaller than the sum of its proper divisors (2735700766560).

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

1142144004240 is a wasteful number, since it uses less digits than its factorization.

1142144004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274 (or 26265 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1142144004240 its reverse (424004412411), we get a palindrome (1566148416651).

The spelling of 1142144004240 in words is "one trillion, one hundred forty-two billion, one hundred forty-four million, four thousand, two hundred forty".