311440304001042 has 96 divisors (see below), whose sum is σ = 704813995057536. Its totient is φ = 99202784313600.

The previous prime is 311440304001031. The next prime is 311440304001097. The reversal of 311440304001042 is 240100403044113.

311440304001042 is a `hidden beast` number, since 3 + 114 + 40 + 3 + 0 + 400 + 104 + 2 = 666.

It is a super-2 number, since 2×311440304001042² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311440304000997 and 311440304001015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7383405192 + ... + 7383447372.

It is an arithmetic number, because the mean of its divisors is an integer number (7341812448516).

Almost surely, 2^{311440304001042} is an apocalyptic number.

311440304001042 is an abundant number, since it is smaller than the sum of its proper divisors (393373691056494).

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

311440304001042 is a wasteful number, since it uses less digits than its factorization.

311440304001042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59216 (or 59213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 311440304001042 its reverse (240100403044113), we get a palindrome (551540707045155).

The spelling of 311440304001042 in words is "three hundred eleven trillion, four hundred forty billion, three hundred four million, one thousand, forty-two".