4411441144 has 64 divisors (see below), whose sum is σ = 9120545280. Its totient is φ = 1983744000.

The previous prime is 4411441123. The next prime is 4411441157.

It is a happy number.

4411441144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583009 + ... + 3584239.

It is an arithmetic number, because the mean of its divisors is an integer number (142508520).

Almost surely, 2^4411441144 is an apocalyptic number.

4411441144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4411441144 is an abundant number, since it is smaller than the sum of its proper divisors (4709104136).

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

4411441144 is a wasteful number, since it uses less digits than its factorization.

4411441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 4411441144 is about 66418.6806854819. The cubic root of 4411441144 is about 1640.0616108125.

It can be divided in two parts, 44114 and 41144, that added together give a palindrome (85258).

The spelling of 4411441144 in words is "four billion, four hundred eleven million, four hundred forty-one thousand, one hundred forty-four".