30300589040 has 80 divisors (see below), whose sum is σ = 71405846400. Its totient is φ = 11955879936.

The previous prime is 30300589021. The next prime is 30300589057. The reversal of 30300589040 is 4098500303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30300588988 and 30300589006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13353026 + ... + 13355294.

It is an arithmetic number, because the mean of its divisors is an integer number (892573080).

Almost surely, 2^30300589040 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 30300589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35702923200).

30300589040 is an abundant number, since it is smaller than the sum of its proper divisors (41105257360).

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

30300589040 is a wasteful number, since it uses less digits than its factorization.

30300589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 30300589040 in words is "thirty billion, three hundred million, five hundred eighty-nine thousand, forty".