340067744256 has 160 divisors (see below), whose sum is σ = 929749867200. Its totient is φ = 110394998784.

The previous prime is 340067744243. The next prime is 340067744257. The reversal of 340067744256 is 652447760043.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (340067744257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23043376 + ... + 23058128.

It is an arithmetic number, because the mean of its divisors is an integer number (5810936670).

Almost surely, 2^340067744256 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 340067744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464874933600).

340067744256 is an abundant number, since it is smaller than the sum of its proper divisors (589682122944).

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

340067744256 is a wasteful number, since it uses less digits than its factorization.

340067744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 340067744256 in words is "three hundred forty billion, sixty-seven million, seven hundred forty-four thousand, two hundred fifty-six".