340361217321216 has 1728 divisors, whose sum is σ = 1224284234342400. Its totient is φ = 81509480202240.

The previous prime is 340361217321193. The next prime is 340361217321269. The reversal of 340361217321216 is 612123712163043.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 139093262905 + ... + 139093265351.

It is an arithmetic number, because the mean of its divisors is an integer number (708497820800).

Almost surely, 2^{340361217321216} 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 340361217321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612142117171200).

340361217321216 is an abundant number, since it is smaller than the sum of its proper divisors (883923017021184).

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

340361217321216 is a wasteful number, since it uses less digits than its factorization.

340361217321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 340361217321216 its reverse (612123712163043), we get a palindrome (952484929484259).

The spelling of 340361217321216 in words is "three hundred forty trillion, three hundred sixty-one billion, two hundred seventeen million, three hundred twenty-one thousand, two hundred sixteen".