4431330331344 has 240 divisors, whose sum is σ = 14922190890880. Its totient is φ = 1199215964160.

The previous prime is 4431330331339. The next prime is 4431330331349.

4431330331344 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 3 + 303 + 3 + 1 + 344 = 666.

4431330331344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4431330331339) and next prime (4431330331349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4431330331299 and 4431330331308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431330331349) 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, 108015924 + ... + 108056940.

Almost surely, 2^{4431330331344} 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 4431330331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461095445440).

4431330331344 is an abundant number, since it is smaller than the sum of its proper divisors (10490860559536).

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

4431330331344 is a wasteful number, since it uses less digits than its factorization.

4431330331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46698 (or 46689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 4431330 and 331344, that added together give a palindrome (4762674).

The spelling of 4431330331344 in words is "four trillion, four hundred thirty-one billion, three hundred thirty million, three hundred thirty-one thousand, three hundred forty-four".