30004344433040 has 160 divisors (see below), whose sum is σ = 74898812526336. Its totient is φ = 11148994897920.

The previous prime is 30004344433013. The next prime is 30004344433057. The reversal of 30004344433040 is 4033444340003.

It is a junction number, because it is equal to n+sod(n) for n = 30004344432988 and 30004344433006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36423959 + ... + 37238601.

Almost surely, 2^{30004344433040} 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 30004344433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449406263168).

30004344433040 is an abundant number, since it is smaller than the sum of its proper divisors (44894468093296).

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

30004344433040 is a wasteful number, since it uses less digits than its factorization.

30004344433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815257 (or 815251 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 30004344433040 its reverse (4033444340003), we get a palindrome (34037788773043).

The spelling of 30004344433040 in words is "thirty trillion, four billion, three hundred forty-four million, four hundred thirty-three thousand, forty".