4144420520 has 128 divisors (see below), whose sum is σ = 9835084800. Its totient is φ = 1570329600.

The previous prime is 4144420519. The next prime is 4144420523. The reversal of 4144420520 is 250244414.

It is a self number, because there is not a number n which added to its sum of digits gives 4144420520.

It is not an unprimeable number, because it can be changed into a prime (4144420523) 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 31 ways as a sum of consecutive naturals, for example, 8142026 + ... + 8142534.

It is an arithmetic number, because the mean of its divisors is an integer number (76836600).

Almost surely, 2^4144420520 is an apocalyptic number.

4144420520 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 4144420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917542400).

4144420520 is an abundant number, since it is smaller than the sum of its proper divisors (5690664280).

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

4144420520 is a wasteful number, since it uses less digits than its factorization.

4144420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4144420520 is about 64377.1739050418. The cubic root of 4144420520 is about 1606.2800733820.

Adding to 4144420520 its reverse (250244414), we get a palindrome (4394664934).

The spelling of 4144420520 in words is "four billion, one hundred forty-four million, four hundred twenty thousand, five hundred twenty".