4211441124 has 48 divisors (see below), whose sum is σ = 11284250880. Its totient is φ = 1209025440.

The previous prime is 4211441123. The next prime is 4211441173.

4211441124 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4211441124³ (a number of 30 digits) contains 333 as substring.

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 = 4211441094 and 4211441103.

It is not an unprimeable number, because it can be changed into a prime (4211441123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 837094 + ... + 842109.

It is an arithmetic number, because the mean of its divisors is an integer number (235088560).

Almost surely, 2^4211441124 is an apocalyptic number.

4211441124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4211441124 is an abundant number, since it is smaller than the sum of its proper divisors (7072809756).

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

4211441124 is a wasteful number, since it uses less digits than its factorization.

4211441124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679240 (or 1679238 counting only the distinct ones).

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

The square root of 4211441124 is about 64895.6171401428. The cubic root of 4211441124 is about 1614.8923524437.

It can be divided in two parts, 42114 and 41124, that added together give a palindrome (83238).

The spelling of 4211441124 in words is "four billion, two hundred eleven million, four hundred forty-one thousand, one hundred twenty-four".