30415329920 has 128 divisors (see below), whose sum is σ = 76068234000. Its totient is φ = 11613995008.

The previous prime is 30415329911. The next prime is 30415329937. The reversal of 30415329920 is 2992351403.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5448801856 + 24966528064 = 73816^2 + 158008^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642634 + ... + 1661046.

Almost surely, 2^30415329920 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 30415329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38034117000).

30415329920 is an abundant number, since it is smaller than the sum of its proper divisors (45652904080).

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

30415329920 is a wasteful number, since it uses less digits than its factorization.

30415329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18550 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 30415329920 in words is "thirty billion, four hundred fifteen million, three hundred twenty-nine thousand, nine hundred twenty".