30420440300 has 144 divisors (see below), whose sum is σ = 70687663200. Its totient is φ = 11342284800.

The previous prime is 30420440299. The next prime is 30420440357. The reversal of 30420440300 is 304402403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 11096930 + ... + 11099670.

It is an arithmetic number, because the mean of its divisors is an integer number (490886550).

Almost surely, 2^30420440300 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 30420440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35343831600).

30420440300 is an abundant number, since it is smaller than the sum of its proper divisors (40267222900).

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

30420440300 is a wasteful number, since it uses less digits than its factorization.

30420440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 30420440300 its reverse (304402403), we get a palindrome (30724842703).

The spelling of 30420440300 in words is "thirty billion, four hundred twenty million, four hundred forty thousand, three hundred".