4042231440 has 240 divisors, whose sum is σ = 14338540608. Its totient is φ = 936271872.

The previous prime is 4042231411. The next prime is 4042231447. The reversal of 4042231440 is 441322404.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4042231440.

It is not an unprimeable number, because it can be changed into a prime (4042231447) 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, 899439 + ... + 903921.

Almost surely, 2^4042231440 is an apocalyptic number.

4042231440 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 4042231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169270304).

4042231440 is an abundant number, since it is smaller than the sum of its proper divisors (10296309168).

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

4042231440 is a wasteful number, since it uses less digits than its factorization.

4042231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4523 counting only the distinct ones).

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

The square root of 4042231440 is about 63578.5454379070. The cubic root of 4042231440 is about 1592.9680252751.

Adding to 4042231440 its reverse (441322404), we get a palindrome (4483553844).

The spelling of 4042231440 in words is "four billion, forty-two million, two hundred thirty-one thousand, four hundred forty".