4113414144 has 192 divisors, whose sum is σ = 13926931200. Its totient is φ = 1175150592.

The previous prime is 4113414133. The next prime is 4113414167. The reversal of 4113414144 is 4414143114.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 381759 + ... + 392385.

It is an arithmetic number, because the mean of its divisors is an integer number (72536100).

Almost surely, 2^4113414144 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 4113414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963465600).

4113414144 is an abundant number, since it is smaller than the sum of its proper divisors (9813517056).

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

4113414144 is a wasteful number, since it uses less digits than its factorization.

4113414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10665 (or 10639 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4113414144 is about 64135.9037045554. The cubic root of 4113414144 is about 1602.2642608569.

Adding to 4113414144 its reverse (4414143114), we get a palindrome (8527557258).

It can be divided in two parts, 41134 and 14144, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 4113414144 in words is "four billion, one hundred thirteen million, four hundred fourteen thousand, one hundred forty-four".