334313140000242 has 128 divisors (see below), whose sum is σ = 758359717871616. Its totient is φ = 97478110743552.

The previous prime is 334313140000171. The next prime is 334313140000243. The reversal of 334313140000242 is 242000041313433.

It is a happy number.

It is a super-2 number, since 2×334313140000242² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334313140000243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447033843 + ... + 447781065.

It is an arithmetic number, because the mean of its divisors is an integer number (5924685295872).

Almost surely, 2^{334313140000242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334313140000242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379179858935808).

334313140000242 is an abundant number, since it is smaller than the sum of its proper divisors (424046577871374).

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

334313140000242 is a wasteful number, since it uses less digits than its factorization.

334313140000242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749584.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 334313140000242 its reverse (242000041313433), we get a palindrome (576313181313675).

The spelling of 334313140000242 in words is "three hundred thirty-four trillion, three hundred thirteen billion, one hundred forty million, two hundred forty-two", and thus it is an aban number.