30420360000 has 700 divisors, whose sum is σ = 115935716820. Its totient is φ = 7879680000.

The previous prime is 30420359971. The next prime is 30420360007. The reversal of 30420360000 is 6302403.

30420360000 is a `hidden beast` number, since 304 + 2 + 0 + 360 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 23940753984 + 6479606016 = 154728^2 + 80496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30420360007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 132839886 + ... + 132840114.

Almost surely, 2^30420360000 is an apocalyptic number.

30420360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967858410).

30420360000 is an abundant number, since it is smaller than the sum of its proper divisors (85515356820).

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

30420360000 is an equidigital number, since it uses as much as digits as its factorization.

30420360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30420360000 its reverse (6302403), we get a palindrome (30426662403).

The spelling of 30420360000 in words is "thirty billion, four hundred twenty million, three hundred sixty thousand".