4140442320 has 160 divisors (see below), whose sum is σ = 14703439872. Its totient is φ = 944165376.

The previous prime is 4140442289. The next prime is 4140442343. The reversal of 4140442320 is 232440414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775179 + ... + 780501.

Almost surely, 2^4140442320 is an apocalyptic number.

4140442320 is a gapful number since it is divisible by the number (40) 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 4140442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351719936).

4140442320 is an abundant number, since it is smaller than the sum of its proper divisors (10562997552).

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

4140442320 is a wasteful number, since it uses less digits than its factorization.

4140442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4140442320 is about 64346.2688895013. The cubic root of 4140442320 is about 1605.7659565469.

Adding to 4140442320 its reverse (232440414), we get a palindrome (4372882734).

The spelling of 4140442320 in words is "four billion, one hundred forty million, four hundred forty-two thousand, three hundred twenty".