311441331020404 has 24 divisors (see below), whose sum is σ = 587020410574920. Its totient is φ = 143724205008384.

The previous prime is 311441331020359. The next prime is 311441331020483. The reversal of 311441331020404 is 404020133144113.

It can be written as a sum of positive squares in 4 ways, for example, as 32345950022500 + 279095380997904 = 5687350^2 + 16706148^2 .

It is a super-3 number, since 3×311441331020404³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 373491409 + ... + 374324344.

It is an arithmetic number, because the mean of its divisors is an integer number (24459183773955).

Almost surely, 2^{311441331020404} is an apocalyptic number.

It is an amenable number.

311441331020404 is a deficient number, since it is larger than the sum of its proper divisors (275579079554516).

311441331020404 is a wasteful number, since it uses less digits than its factorization.

311441331020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747823779 (or 747823777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 311441331020404 its reverse (404020133144113), we get a palindrome (715461464164517).

The spelling of 311441331020404 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred thirty-one million, twenty thousand, four hundred four".