311440114144000 has 144 divisors (see below), whose sum is σ = 809568267318720. Its totient is φ = 119159695564800.

The previous prime is 311440114143959. The next prime is 311440114144021. The reversal of 311440114144000 is 441411044113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 311440114144000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210840165 + ... + 212312164.

It is an arithmetic number, because the mean of its divisors is an integer number (5622001856380).

Almost surely, 2^{311440114144000} is an apocalyptic number.

It is an amenable number.

311440114144000 is an abundant number, since it is smaller than the sum of its proper divisors (498128153174720).

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

311440114144000 is an equidigital number, since it uses as much as digits as its factorization.

311440114144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423152383 (or 423152359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 311440114144000 its reverse (441411044113), we get a palindrome (311881525188113).

The spelling of 311440114144000 in words is "three hundred eleven trillion, four hundred forty billion, one hundred fourteen million, one hundred forty-four thousand".