340244122431312 has 240 divisors, whose sum is σ = 1041682931864640. Its totient is φ = 102815833190400.

The previous prime is 340244122431281. The next prime is 340244122431331. The reversal of 340244122431312 is 213134221442043.

340244122431312 is a `hidden beast` number, since 3 + 40 + 2 + 441 + 2 + 2 + 43 + 131 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810318203 + ... + 2810439269.

It is an arithmetic number, because the mean of its divisors is an integer number (4340345549436).

Almost surely, 2^{340244122431312} 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 340244122431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520841465932320).

340244122431312 is an abundant number, since it is smaller than the sum of its proper divisors (701438809433328).

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

340244122431312 is a wasteful number, since it uses less digits than its factorization.

340244122431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126042 (or 126033 counting only the distinct ones).

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

Adding to 340244122431312 its reverse (213134221442043), we get a palindrome (553378343873355).

The spelling of 340244122431312 in words is "three hundred forty trillion, two hundred forty-four billion, one hundred twenty-two million, four hundred thirty-one thousand, three hundred twelve".