34233021442000 has 80 divisors (see below), whose sum is σ = 83021071949712. Its totient is φ = 13652575641600.

The previous prime is 34233021441937. The next prime is 34233021442019. The reversal of 34233021442000 is 24412033243.

It can be written as a sum of positive squares in 8 ways, for example, as 11004824291904 + 23228197150096 = 3317352^2 + 4819564^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34233021442000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24721417 + ... + 26069416.

Almost surely, 2^{34233021442000} is an apocalyptic number.

It is an amenable number.

34233021442000 is an abundant number, since it is smaller than the sum of its proper divisors (48788050507712).

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

34233021442000 is a wasteful number, since it uses less digits than its factorization.

34233021442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50791193 (or 50791177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34233021442000 its reverse (24412033243), we get a palindrome (34257433475243).

The spelling of 34233021442000 in words is "thirty-four trillion, two hundred thirty-three billion, twenty-one million, four hundred forty-two thousand".