4241441424 has 160 divisors (see below), whose sum is σ = 12349209600. Its totient is φ = 1243123200.

The previous prime is 4241441417. The next prime is 4241441437.

4241441424 is nontrivially palindromic in base 10.

4241441424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4241441391 and 4241441400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3887119 + ... + 3888209.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 2^4241441424 is an apocalyptic number.

4241441424 is a gapful number since it is divisible by the number (44) 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 4241441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174604800).

4241441424 is an abundant number, since it is smaller than the sum of its proper divisors (8107768176).

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

4241441424 is a wasteful number, since it uses less digits than its factorization.

4241441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4241441424 is about 65126.3496904287. The cubic root of 4241441424 is about 1618.7178576445.

It can be divided in two parts, 42414 and 41424, that added together give a palindrome (83838).

The spelling of 4241441424 in words is "four billion, two hundred forty-one million, four hundred forty-one thousand, four hundred twenty-four".