331441441004440 has 256 divisors, whose sum is σ = 834464263127040. Its totient is φ = 117652504320000.

The previous prime is 331441441004357. The next prime is 331441441004497. The reversal of 331441441004440 is 44400144144133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 331441441004440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16579522845 + ... + 16579542835.

It is an arithmetic number, because the mean of its divisors is an integer number (3259626027840).

Almost surely, 2^{331441441004440} 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 331441441004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417232131563520).

331441441004440 is an abundant number, since it is smaller than the sum of its proper divisors (503022822122600).

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

331441441004440 is a wasteful number, since it uses less digits than its factorization.

331441441004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 331441441004440 its reverse (44400144144133), we get a palindrome (375841585148573).

The spelling of 331441441004440 in words is "three hundred thirty-one trillion, four hundred forty-one billion, four hundred forty-one million, four thousand, four hundred forty".