4144124160 has 432 divisors, whose sum is σ = 16180631040. Its totient is φ = 1003622400.

The previous prime is 4144124147. The next prime is 4144124161. The reversal of 4144124160 is 614214414.

4144124160 is a `hidden beast` number, since 41 + 441 + 24 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (4144124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181265 + ... + 4182255.

Almost surely, 2^4144124160 is an apocalyptic number.

4144124160 is a gapful number since it is divisible by the number (40) 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 4144124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090315520).

4144124160 is an abundant number, since it is smaller than the sum of its proper divisors (12036506880).

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

4144124160 is a wasteful number, since it uses less digits than its factorization.

4144124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1012 counting only the distinct ones).

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

The square root of 4144124160 is about 64374.8721163778. The cubic root of 4144124160 is about 1606.2417850771.

Adding to 4144124160 its reverse (614214414), we get a palindrome (4758338574).

The spelling of 4144124160 in words is "four billion, one hundred forty-four million, one hundred twenty-four thousand, one hundred sixty".