4432112014440 has 128 divisors (see below), whose sum is σ = 14508904550400. Its totient is φ = 1074169125120.

The previous prime is 4432112014423. The next prime is 4432112014459. The reversal of 4432112014440 is 444102112344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4432112014398 and 4432112014407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4607221 + ... + 5485499.

It is an arithmetic number, because the mean of its divisors is an integer number (113350816800).

Almost surely, 2^{4432112014440} is an apocalyptic number.

4432112014440 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 4432112014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254452275200).

4432112014440 is an abundant number, since it is smaller than the sum of its proper divisors (10076792535960).

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

4432112014440 is a wasteful number, since it uses less digits than its factorization.

4432112014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882127 (or 882123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4432112014440 its reverse (444102112344), we get a palindrome (4876214126784).

The spelling of 4432112014440 in words is "four trillion, four hundred thirty-two billion, one hundred twelve million, fourteen thousand, four hundred forty".