4241111424 has 128 divisors (see below), whose sum is σ = 12438679680. Its totient is φ = 1269596160.

The previous prime is 4241111423. The next prime is 4241111443.

4241111424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4241111424² = 35974052221566615552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 4241111394 and 4241111403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241111423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344544 + ... + 356640.

It is an arithmetic number, because the mean of its divisors is an integer number (97177185).

Almost surely, 2^4241111424 is an apocalyptic number.

4241111424 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 4241111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219339840).

4241111424 is an abundant number, since it is smaller than the sum of its proper divisors (8197568256).

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

4241111424 is a wasteful number, since it uses less digits than its factorization.

4241111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12208 (or 12196 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4241111424 is about 65123.8161044022. The cubic root of 4241111424 is about 1618.6758757887.

It can be divided in two parts, 42411 and 11424, that added together give a palindrome (53835).

The spelling of 4241111424 in words is "four billion, two hundred forty-one million, one hundred eleven thousand, four hundred twenty-four".