31323444240000 has 1440 divisors, whose sum is σ = 119524832935200. Its totient is φ = 7259845120000.

The previous prime is 31323444239963. The next prime is 31323444240149. The reversal of 31323444240000 is 4244432313.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31323444240000.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15362158981 + ... + 15362161019.

It is an arithmetic number, because the mean of its divisors is an integer number (83003356205).

Almost surely, 2^{31323444240000} is an apocalyptic number.

31323444240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31323444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59762416467600).

31323444240000 is an abundant number, since it is smaller than the sum of its proper divisors (88201388695200).

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

31323444240000 is a wasteful number, since it uses less digits than its factorization.

31323444240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31323444240000 its reverse (4244432313), we get a palindrome (31327688672313).

The spelling of 31323444240000 in words is "thirty-one trillion, three hundred twenty-three billion, four hundred forty-four million, two hundred forty thousand".