311442401140 has 48 divisors (see below), whose sum is σ = 704517362640. Its totient is φ = 114964992000.

The previous prime is 311442401119. The next prime is 311442401183. The reversal of 311442401140 is 41104244113.

It can be written as a sum of positive squares in 8 ways, for example, as 27724248036 + 283718153104 = 166506^2 + 532652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890566 + ... + 1189954.

It is an arithmetic number, because the mean of its divisors is an integer number (14677445055).

Almost surely, 2^311442401140 is an apocalyptic number.

It is an amenable number.

311442401140 is an abundant number, since it is smaller than the sum of its proper divisors (393074961500).

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

311442401140 is a wasteful number, since it uses less digits than its factorization.

311442401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303412 (or 303410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 311442401140 its reverse (41104244113), we get a palindrome (352546645253).

The spelling of 311442401140 in words is "three hundred eleven billion, four hundred forty-two million, four hundred one thousand, one hundred forty".