4432110133140 has 144 divisors (see below), whose sum is σ = 13599744434640. Its totient is φ = 1168219176960.

The previous prime is 4432110133123. The next prime is 4432110133267. The reversal of 4432110133140 is 413310112344.

4432110133140 is a `hidden beast` number, since 4 + 4 + 321 + 1 + 0 + 1 + 331 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 142290401796 + 4289819731344 = 377214^2 + 2071188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48671332 + ... + 48762308.

It is an arithmetic number, because the mean of its divisors is an integer number (94442669685).

Almost surely, 2^{4432110133140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4432110133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799872217320).

4432110133140 is an abundant number, since it is smaller than the sum of its proper divisors (9167634301500).

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

4432110133140 is a wasteful number, since it uses less digits than its factorization.

4432110133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94122 (or 94117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4432110133140 its reverse (413310112344), we get a palindrome (4845420245484).

The spelling of 4432110133140 in words is "four trillion, four hundred thirty-two billion, one hundred ten million, one hundred thirty-three thousand, one hundred forty".