42000313333314 has 192 divisors, whose sum is σ = 102240255456000. Its totient is φ = 11250328707072.

The previous prime is 42000313333309. The next prime is 42000313333357. The reversal of 42000313333314 is 41333331300024.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607354012 + ... + 607423160.

It is an arithmetic number, because the mean of its divisors is an integer number (532501330500).

Almost surely, 2^{42000313333314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000313333314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120127728000).

42000313333314 is an abundant number, since it is smaller than the sum of its proper divisors (60239942122686).

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

42000313333314 is a wasteful number, since it uses less digits than its factorization.

42000313333314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69437 (or 69340 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 42000313333314 its reverse (41333331300024), we get a palindrome (83333644633338).

The spelling of 42000313333314 in words is "forty-two trillion, three hundred thirteen million, three hundred thirty-three thousand, three hundred fourteen".