4414111002 has 144 divisors (see below), whose sum is σ = 11370378240. Its totient is φ = 1233719424.

The previous prime is 4414111001. The next prime is 4414111061. The reversal of 4414111002 is 2001114144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4414111001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11524903 + ... + 11525285.

It is an arithmetic number, because the mean of its divisors is an integer number (78960960).

Almost surely, 2^4414111002 is an apocalyptic number.

4414111002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685189120).

4414111002 is an abundant number, since it is smaller than the sum of its proper divisors (6956267238).

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

4414111002 is a wasteful number, since it uses less digits than its factorization.

4414111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4414111002 is about 66438.7763433373. The cubic root of 4414111002 is about 1640.3924058530.

Adding to 4414111002 its reverse (2001114144), we get a palindrome (6415225146).

The spelling of 4414111002 in words is "four billion, four hundred fourteen million, one hundred eleven thousand, two".