4043420223440 has 480 divisors, whose sum is σ = 10985244399360. Its totient is φ = 1372911648768.

The previous prime is 4043420223439. The next prime is 4043420223449. The reversal of 4043420223440 is 443220243404.

4043420223440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4043420223397 and 4043420223406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043420223449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3117516872 + ... + 3117518168.

It is an arithmetic number, because the mean of its divisors is an integer number (22885925832).

Almost surely, 2^{4043420223440} is an apocalyptic number.

4043420223440 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 4043420223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492622199680).

4043420223440 is an abundant number, since it is smaller than the sum of its proper divisors (6941824175920).

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

4043420223440 is a wasteful number, since it uses less digits than its factorization.

4043420223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4043420223440 its reverse (443220243404), we get a palindrome (4486640466844).

The spelling of 4043420223440 in words is "four trillion, forty-three billion, four hundred twenty million, two hundred twenty-three thousand, four hundred forty".