4434112000 has 160 divisors (see below), whose sum is σ = 11209461120. Its totient is φ = 1749196800.

The previous prime is 4434111967. The next prime is 4434112013. The reversal of 4434112000 is 2114344.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4434112000² = 39322698457088000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5055562 + ... + 5056438.

It is an arithmetic number, because the mean of its divisors is an integer number (70059132).

Almost surely, 2^4434112000 is an apocalyptic number.

4434112000 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 4434112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604730560).

4434112000 is an abundant number, since it is smaller than the sum of its proper divisors (6775349120).

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

4434112000 is an frugal number, since it uses more digits than its factorization.

4434112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4434112000 is about 66589.1282417783. The cubic root of 4434112000 is about 1642.8662943049.

Adding to 4434112000 its reverse (2114344), we get a palindrome (4436226344).

The spelling of 4434112000 in words is "four billion, four hundred thirty-four million, one hundred twelve thousand".