340201122797312 has 432 divisors, whose sum is σ = 801675001999872. Its totient is φ = 143651685703680.

The previous prime is 340201122797293. The next prime is 340201122797359. The reversal of 340201122797312 is 213797221102043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350361608987 + ... + 350361609957.

It is an arithmetic number, because the mean of its divisors is an integer number (1855729171296).

Almost surely, 2^{340201122797312} is an apocalyptic number.

340201122797312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340201122797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400837500999936).

340201122797312 is an abundant number, since it is smaller than the sum of its proper divisors (461473879202560).

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

340201122797312 is a wasteful number, since it uses less digits than its factorization.

340201122797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

Adding to 340201122797312 its reverse (213797221102043), we get a palindrome (553998343899355).

The spelling of 340201122797312 in words is "three hundred forty trillion, two hundred one billion, one hundred twenty-two million, seven hundred ninety-seven thousand, three hundred twelve".