31440241213344 has 384 divisors, whose sum is σ = 95386778323200. Its totient is φ = 10062917222400.

The previous prime is 31440241213343. The next prime is 31440241213361. The reversal of 31440241213344 is 44331214204413.

31440241213344 is a `hidden beast` number, since 3 + 1 + 4 + 402 + 4 + 1 + 213 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31440241213299 and 31440241213308.

It is not an unprimeable number, because it can be changed into a prime (31440241213343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5563656919 + ... + 5563662569.

It is an arithmetic number, because the mean of its divisors is an integer number (248403068550).

Almost surely, 2^{31440241213344} 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 31440241213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47693389161600).

31440241213344 is an abundant number, since it is smaller than the sum of its proper divisors (63946537109856).

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

31440241213344 is a wasteful number, since it uses less digits than its factorization.

31440241213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 31440241213344 its reverse (44331214204413), we get a palindrome (75771455417757).

The spelling of 31440241213344 in words is "thirty-one trillion, four hundred forty billion, two hundred forty-one million, two hundred thirteen thousand, three hundred forty-four".