4414120000 has 140 divisors (see below), whose sum is σ = 11018485456. Its totient is φ = 1753920000.

The previous prime is 4414119991. The next prime is 4414120013. The reversal of 4414120000 is 214144.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8439739 + ... + 8440261.

Almost surely, 2^4414120000 is an apocalyptic number.

4414120000 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 4414120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509242728).

4414120000 is an abundant number, since it is smaller than the sum of its proper divisors (6604365456).

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

4414120000 is an equidigital number, since it uses as much as digits as its factorization.

4414120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4414120000 is about 66438.8440597818. The cubic root of 4414120000 is about 1640.3935204784.

Adding to 4414120000 its reverse (214144), we get a palindrome (4414334144).

The spelling of 4414120000 in words is "four billion, four hundred fourteen million, one hundred twenty thousand".