340454122105000 has 640 divisors, whose sum is σ = 886722048115200. Its totient is φ = 122273800704000.

The previous prime is 340454122104997. The next prime is 340454122105001. The reversal of 340454122105000 is 501221454043.

It is not an unprimeable number, because it can be changed into a prime (340454122105001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 346341934509 + ... + 346341935491.

It is an arithmetic number, because the mean of its divisors is an integer number (1385503200180).

Almost surely, 2^{340454122105000} 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 340454122105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443361024057600).

340454122105000 is an abundant number, since it is smaller than the sum of its proper divisors (546267926010200).

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

340454122105000 is an equidigital number, since it uses as much as digits as its factorization.

340454122105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 340454122105000 its reverse (501221454043), we get a palindrome (340955343559043).

The spelling of 340454122105000 in words is "three hundred forty trillion, four hundred fifty-four billion, one hundred twenty-two million, one hundred five thousand".