330330242034 has 96 divisors (see below), whose sum is σ = 787576608000. Its totient is φ = 99426134016.

The previous prime is 330330242027. The next prime is 330330242069. The reversal of 330330242034 is 430242033033.

330330242034 is a `hidden beast` number, since 3 + 303 + 302 + 4 + 20 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330330241989 and 330330242007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24925842 + ... + 24939090.

It is an arithmetic number, because the mean of its divisors is an integer number (8203923000).

Almost surely, 2^330330242034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330330242034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393788304000).

330330242034 is an abundant number, since it is smaller than the sum of its proper divisors (457246365966).

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

330330242034 is a wasteful number, since it uses less digits than its factorization.

330330242034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584 (or 15581 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 330330242034 its reverse (430242033033), we get a palindrome (760572275067).

The spelling of 330330242034 in words is "three hundred thirty billion, three hundred thirty million, two hundred forty-two thousand, thirty-four".