4413220440 has 128 divisors (see below), whose sum is σ = 13966905600. Its totient is φ = 1112486400.

The previous prime is 4413220433. The next prime is 4413220499. The reversal of 4413220440 is 440223144.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4413220440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1190590 + ... + 1194290.

It is an arithmetic number, because the mean of its divisors is an integer number (109116450).

Almost surely, 2^4413220440 is an apocalyptic number.

4413220440 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 4413220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983452800).

4413220440 is an abundant number, since it is smaller than the sum of its proper divisors (9553685160).

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

4413220440 is a wasteful number, since it uses less digits than its factorization.

4413220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4413220440 is about 66432.0738800167. The cubic root of 4413220440 is about 1640.2820801726.

Adding to 4413220440 its reverse (440223144), we get a palindrome (4853443584).

The spelling of 4413220440 in words is "four billion, four hundred thirteen million, two hundred twenty thousand, four hundred forty".