4144111120 has 40 divisors (see below), whose sum is σ = 9658131840. Its totient is φ = 1653674880.

The previous prime is 4144111091. The next prime is 4144111129. The reversal of 4144111120 is 211114414.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4144111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28296 + ... + 95335.

It is an arithmetic number, because the mean of its divisors is an integer number (241453296).

Almost surely, 2^4144111120 is an apocalyptic number.

4144111120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144111120 is an abundant number, since it is smaller than the sum of its proper divisors (5514020720).

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

4144111120 is a wasteful number, since it uses less digits than its factorization.

4144111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124063 (or 124057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 4144111120 is about 64374.7708345436. The cubic root of 4144111120 is about 1606.2401003291.

Adding to 4144111120 its reverse (211114414), we get a palindrome (4355225534).

The spelling of 4144111120 in words is "four billion, one hundred forty-four million, one hundred eleven thousand, one hundred twenty".