311431304400441 has 8 divisors (see below), whose sum is σ = 426464488908864. Its totient is φ = 202009494746160.

The previous prime is 311431304400379. The next prime is 311431304400451. The reversal of 311431304400441 is 144004403134113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311431304400441 - 2¹³ = 311431304392249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311431304400451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1402843713405 + ... + 1402843713626.

It is an arithmetic number, because the mean of its divisors is an integer number (53308061113608).

Almost surely, 2^{311431304400441} is an apocalyptic number.

It is an amenable number.

311431304400441 is a deficient number, since it is larger than the sum of its proper divisors (115033184508423).

311431304400441 is a wasteful number, since it uses less digits than its factorization.

311431304400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805687427071.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 311431304400441 its reverse (144004403134113), we get a palindrome (455435707534554).

The spelling of 311431304400441 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred four million, four hundred thousand, four hundred forty-one".