30305015445040 has 240 divisors, whose sum is σ = 82199255410944. Its totient is φ = 10360347379200.

The previous prime is 30305015445037. The next prime is 30305015445073. The reversal of 30305015445040 is 4054451050303.

It is a super-2 number, since 2×30305015445040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30305015444987 and 30305015445005.

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, 2006017167 + ... + 2006032273.

Almost surely, 2^{30305015445040} 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 30305015445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41099627705472).

30305015445040 is an abundant number, since it is smaller than the sum of its proper divisors (51894239965904).

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

30305015445040 is a wasteful number, since it uses less digits than its factorization.

30305015445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 30305015445040 its reverse (4054451050303), we get a palindrome (34359466495343).

The spelling of 30305015445040 in words is "thirty trillion, three hundred five billion, fifteen million, four hundred forty-five thousand, forty".