340816933569408 has 256 divisors, whose sum is σ = 947535505804800. Its totient is φ = 108335123398656.

The previous prime is 340816933569403. The next prime is 340816933569439. The reversal of 340816933569408 is 804965339618043.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340816933569403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19887774216 + ... + 19887791352.

It is an arithmetic number, because the mean of its divisors is an integer number (3701310569550).

Almost surely, 2^{340816933569408} 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 340816933569408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473767752902400).

340816933569408 is an abundant number, since it is smaller than the sum of its proper divisors (606718572235392).

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

340816933569408 is a wasteful number, since it uses less digits than its factorization.

340816933569408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23909 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 340816933569408 in words is "three hundred forty trillion, eight hundred sixteen billion, nine hundred thirty-three million, five hundred sixty-nine thousand, four hundred eight".