4431443414100 has 144 divisors (see below), whose sum is σ = 13535367014400. Its totient is φ = 1116295758720.

The previous prime is 4431443413997. The next prime is 4431443414107. The reversal of 4431443414100 is 14143441344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431443414107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857661 + ... + 3098139.

Almost surely, 2^{4431443414100} 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 4431443414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767683507200).

4431443414100 is an abundant number, since it is smaller than the sum of its proper divisors (9103923600300).

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

4431443414100 is a wasteful number, since it uses less digits than its factorization.

4431443414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240862 (or 2240855 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4431443414100 its reverse (14143441344), we get a palindrome (4445586855444).

The spelling of 4431443414100 in words is "four trillion, four hundred thirty-one billion, four hundred forty-three million, four hundred fourteen thousand, one hundred".