4144205340 has 144 divisors (see below), whose sum is σ = 13737185280. Its totient is φ = 1002925440.

The previous prime is 4144205323. The next prime is 4144205341. The reversal of 4144205340 is 435024414.

It is a happy number.

4144205340 is a `hidden beast` number, since 414 + 4 + 205 + 3 + 40 = 666.

4144205340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144205341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438021 + ... + 1440899.

It is an arithmetic number, because the mean of its divisors is an integer number (95397120).

Almost surely, 2^4144205340 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 4144205340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

4144205340 is an abundant number, since it is smaller than the sum of its proper divisors (9592979940).

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

4144205340 is a wasteful number, since it uses less digits than its factorization.

4144205340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4144205340 is about 64375.5026388144. The cubic root of 4144205340 is about 1606.2522733292.

Adding to 4144205340 its reverse (435024414), we get a palindrome (4579229754).

The spelling of 4144205340 in words is "four billion, one hundred forty-four million, two hundred five thousand, three hundred forty".