30145427200 has 324 divisors, whose sum is σ = 87779923392. Its totient is φ = 10218700800.

The previous prime is 30145427177. The next prime is 30145427201. The reversal of 30145427200 is 272454103.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30145427201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30418705 + ... + 30419695.

Almost surely, 2^30145427200 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 30145427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43889961696).

30145427200 is an abundant number, since it is smaller than the sum of its proper divisors (57634496192).

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

30145427200 is an equidigital number, since it uses as much as digits as its factorization.

30145427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 30145427200 in words is "thirty billion, one hundred forty-five million, four hundred twenty-seven thousand, two hundred".