30042568234056 has 512 divisors, whose sum is σ = 92241796792320. Its totient is φ = 7968465331200.

The previous prime is 30042568234043. The next prime is 30042568234093. The reversal of 30042568234056 is 65043286524003.

It is a super-2 number, since 2×30042568234056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30042568233996 and 30042568234014.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16407737061 + ... + 16407738891.

It is an arithmetic number, because the mean of its divisors is an integer number (180159759360).

Almost surely, 2^{30042568234056} 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 30042568234056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46120898396160).

30042568234056 is an abundant number, since it is smaller than the sum of its proper divisors (62199228558264).

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

30042568234056 is a wasteful number, since it uses less digits than its factorization.

30042568234056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 30042568234056 in words is "thirty trillion, forty-two billion, five hundred sixty-eight million, two hundred thirty-four thousand, fifty-six".