342033043033000 has 768 divisors, whose sum is σ = 964078204976640. Its totient is φ = 112410726912000.

The previous prime is 342033043032991. The next prime is 342033043033027. The reversal of 342033043033000 is 330340330243.

It is a self number, because there is not a number n which added to its sum of digits gives 342033043033000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36259196284 + ... + 36259205716.

It is an arithmetic number, because the mean of its divisors is an integer number (1255310162730).

Almost surely, 2^{342033043033000} 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 342033043033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482039102488320).

342033043033000 is an abundant number, since it is smaller than the sum of its proper divisors (622045161943640).

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

342033043033000 is a wasteful number, since it uses less digits than its factorization.

342033043033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 342033043033000 its reverse (330340330243), we get a palindrome (342363383363243).

The spelling of 342033043033000 in words is "three hundred forty-two trillion, thirty-three billion, forty-three million, thirty-three thousand".