4431421143440 has 80 divisors (see below), whose sum is σ = 10849021243200. Its totient is φ = 1678702311936.

The previous prime is 4431421143419. The next prime is 4431421143449. The reversal of 4431421143440 is 443411241344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4431421143440.

It is not an unprimeable number, because it can be changed into a prime (4431421143449) 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 15 ways as a sum of consecutive naturals, for example, 3971294 + ... + 4963266.

It is an arithmetic number, because the mean of its divisors is an integer number (135612765540).

Almost surely, 2^{4431421143440} is an apocalyptic number.

4431421143440 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 4431421143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424510621600).

4431421143440 is an abundant number, since it is smaller than the sum of its proper divisors (6417600099760).

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

4431421143440 is a wasteful number, since it uses less digits than its factorization.

4431421143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994944 (or 994938 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 4431421143440 its reverse (443411241344), we get a palindrome (4874832384784).

The spelling of 4431421143440 in words is "four trillion, four hundred thirty-one billion, four hundred twenty-one million, one hundred forty-three thousand, four hundred forty".