4330144124420 has 96 divisors (see below), whose sum is σ = 9651413489760. Its totient is φ = 1626245038080.

The previous prime is 4330144124401. The next prime is 4330144124443. The reversal of 4330144124420 is 244214410334.

It can be written as a sum of positive squares in 16 ways, for example, as 950422210816 + 3379721913604 = 974896^2 + 1838402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540116252 + ... + 540124268.

It is an arithmetic number, because the mean of its divisors is an integer number (100535557185).

Almost surely, 2^{4330144124420} 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 4330144124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825706744880).

4330144124420 is an abundant number, since it is smaller than the sum of its proper divisors (5321269365340).

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

4330144124420 is a wasteful number, since it uses less digits than its factorization.

4330144124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4330144124420 its reverse (244214410334), we get a palindrome (4574358534754).

The spelling of 4330144124420 in words is "four trillion, three hundred thirty billion, one hundred forty-four million, one hundred twenty-four thousand, four hundred twenty".