31444414111000 has 192 divisors, whose sum is σ = 81224296957440. Its totient is φ = 11385247808000.

The previous prime is 31444414110917. The next prime is 31444414111111. The reversal of 31444414111000 is 11141444413.

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 31444414111000.

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 47 ways as a sum of consecutive naturals, for example, 27635337 + ... + 28750663.

It is an arithmetic number, because the mean of its divisors is an integer number (423043213320).

Almost surely, 2^{31444414111000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31444414111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40612148478720).

31444414111000 is an abundant number, since it is smaller than the sum of its proper divisors (49779882846440).

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

31444414111000 is a wasteful number, since it uses less digits than its factorization.

31444414111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115603 (or 1115578 counting only the distinct ones).

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

Adding to 31444414111000 its reverse (11141444413), we get a palindrome (31455555555413).

It can be divided in two parts, 3144 and 4414111000, that added together give a palindrome (4414114144).

The spelling of 31444414111000 in words is "thirty-one trillion, four hundred forty-four billion, four hundred fourteen million, one hundred eleven thousand".