4141114144 has 96 divisors (see below), whose sum is σ = 8838063360. Its totient is φ = 1903564800.

The previous prime is 4141114129. The next prime is 4141114169. The reversal of 4141114144 is 4414111414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6755182 + ... + 6755794.

It is an arithmetic number, because the mean of its divisors is an integer number (92063160).

Almost surely, 2^4141114144 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 4141114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419031680).

4141114144 is an abundant number, since it is smaller than the sum of its proper divisors (4696949216).

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

4141114144 is a wasteful number, since it uses less digits than its factorization.

4141114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 4141114144 is about 64351.4890581407. The cubic root of 4141114144 is about 1605.8528018388.

Adding to 4141114144 its reverse (4414111414), we get a palindrome (8555225558).

It can be divided in two parts, 41411 and 14144, that added together give a palindrome (55555).

The spelling of 4141114144 in words is "four billion, one hundred forty-one million, one hundred fourteen thousand, one hundred forty-four".