311340042223140 has 96 divisors (see below), whose sum is σ = 996338158792704. Its totient is φ = 71159865102720.

The previous prime is 311340042223087. The next prime is 311340042223169. The reversal of 311340042223140 is 41322240043113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 311340042223098 and 311340042223107.

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 31 ways as a sum of consecutive naturals, for example, 10230696 + ... + 26969375.

It is an arithmetic number, because the mean of its divisors is an integer number (10378522487424).

Almost surely, 2^{311340042223140} is an apocalyptic number.

311340042223140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311340042223140 is an abundant number, since it is smaller than the sum of its proper divisors (684998116569564).

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

311340042223140 is a wasteful number, since it uses less digits than its factorization.

311340042223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37220017 (or 37220015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 311340042223140 its reverse (41322240043113), we get a palindrome (352662282266253).

The spelling of 311340042223140 in words is "three hundred eleven trillion, three hundred forty billion, forty-two million, two hundred twenty-three thousand, one hundred forty".