30434420000 has 120 divisors (see below), whose sum is σ = 79278432156. Its totient is φ = 11457536000.

The previous prime is 30434419969. The next prime is 30434420033. The reversal of 30434420000 is 2443403.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1249481104 + 29184938896 = 35348^2 + 170836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 295244 + ... + 384756.

Almost surely, 2^30434420000 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 30434420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39639216078).

30434420000 is an abundant number, since it is smaller than the sum of its proper divisors (48844012156).

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

30434420000 is an equidigital number, since it uses as much as digits as its factorization.

30434420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89560 (or 89537 counting only the distinct ones).

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

Adding to 30434420000 its reverse (2443403), we get a palindrome (30436863403).

The spelling of 30434420000 in words is "thirty billion, four hundred thirty-four million, four hundred twenty thousand".