311441041104040 has 32 divisors (see below), whose sum is σ = 702406813644360. Its totient is φ = 124280510457600.

The previous prime is 311441041104029. The next prime is 311441041104143. The reversal of 311441041104040 is 40401140144113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 177236554772484 + 134204486331556 = 13313022^2 + 11584666^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9247044951 + ... + 9247078630.

Almost surely, 2^{311441041104040} is an apocalyptic number.

It is an amenable number.

311441041104040 is an abundant number, since it is smaller than the sum of its proper divisors (390965772540320).

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

311441041104040 is a wasteful number, since it uses less digits than its factorization.

311441041104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494124013 (or 18494124009 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 311441041104040 its reverse (40401140144113), we get a palindrome (351842181248153).

The spelling of 311441041104040 in words is "three hundred eleven trillion, four hundred forty-one billion, forty-one million, one hundred four thousand, forty".