342333420011000 has 256 divisors, whose sum is σ = 882544113285120. Its totient is φ = 123251708160000.

The previous prime is 342333420010987. The next prime is 342333420011003. The reversal of 342333420011000 is 110024333243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342333420011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6255265637 + ... + 6255320363.

It is an arithmetic number, because the mean of its divisors is an integer number (3447437942520).

Almost surely, 2^{342333420011000} 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 342333420011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441272056642560).

342333420011000 is an abundant number, since it is smaller than the sum of its proper divisors (540210693274120).

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

342333420011000 is a wasteful number, since it uses less digits than its factorization.

342333420011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60383 (or 60369 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 342333420011000 its reverse (110024333243), we get a palindrome (342443444344243).

The spelling of 342333420011000 in words is "three hundred forty-two trillion, three hundred thirty-three billion, four hundred twenty million, eleven thousand".