4434123120 has 160 divisors (see below), whose sum is σ = 15728850432. Its totient is φ = 1012263936.

The previous prime is 4434123061. The next prime is 4434123143. The reversal of 4434123120 is 213214344.

It is a super-2 number, since 2×4434123120² = 39322895686637068800, which contains 22 as substring.

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

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, 2557774 + ... + 2559506.

Almost surely, 2^4434123120 is an apocalyptic number.

4434123120 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 4434123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864425216).

4434123120 is an abundant number, since it is smaller than the sum of its proper divisors (11294727312).

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

4434123120 is a wasteful number, since it uses less digits than its factorization.

4434123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4434123120 is about 66589.2117388395. The cubic root of 4434123120 is about 1642.8676676470.

Adding to 4434123120 its reverse (213214344), we get a palindrome (4647337464).

The spelling of 4434123120 in words is "four billion, four hundred thirty-four million, one hundred twenty-three thousand, one hundred twenty".