4412112144 has 80 divisors (see below), whose sum is σ = 12444917760. Its totient is φ = 1335844480.

The previous prime is 4412112139. The next prime is 4412112161.

4412112144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756889 + ... + 762695.

It is an arithmetic number, because the mean of its divisors is an integer number (155561472).

Almost surely, 2^4412112144 is an apocalyptic number.

4412112144 is a gapful number since it is divisible by the number (44) 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 4412112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

4412112144 is an abundant number, since it is smaller than the sum of its proper divisors (8032805616).

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

4412112144 is a wasteful number, since it uses less digits than its factorization.

4412112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7262 counting only the distinct ones).

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

The square root of 4412112144 is about 66423.7317831511. The cubic root of 4412112144 is about 1640.1447601745.

It can be divided in two parts, 44121 and 12144, that added together give a palindrome (56265).

The spelling of 4412112144 in words is "four billion, four hundred twelve million, one hundred twelve thousand, one hundred forty-four".