311444123311040 has 56 divisors (see below), whose sum is σ = 744265558417392. Its totient is φ = 124134312458240.

The previous prime is 311444123311031. The next prime is 311444123311067. The reversal of 311444123311040 is 40113321444113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 311444123310988 and 311444123311006.

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, 1731694574 + ... + 1731874413.

Almost surely, 2^{311444123311040} is an apocalyptic number.

It is an amenable number.

311444123311040 is an abundant number, since it is smaller than the sum of its proper divisors (432821435106352).

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

311444123311040 is a wasteful number, since it uses less digits than its factorization.

311444123311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463569285 (or 3463569275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 311444123311040 its reverse (40113321444113), we get a palindrome (351557444755153).

The spelling of 311444123311040 in words is "three hundred eleven trillion, four hundred forty-four billion, one hundred twenty-three million, three hundred eleven thousand, forty".