30420389815200 has 1728 divisors, whose sum is σ = 137923876306944. Its totient is φ = 6125414400000.

The previous prime is 30420389815141. The next prime is 30420389815273. The reversal of 30420389815200 is 251898302403.

30420389815200 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 0 + 38 + 98 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3432285969 + ... + 3432294831.

It is an arithmetic number, because the mean of its divisors is an integer number (79817058048).

Almost surely, 2^{30420389815200} is an apocalyptic number.

30420389815200 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 30420389815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68961938153472).

30420389815200 is an abundant number, since it is smaller than the sum of its proper divisors (107503486491744).

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

30420389815200 is a wasteful number, since it uses less digits than its factorization.

30420389815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30420389815200 in words is "thirty trillion, four hundred twenty billion, three hundred eighty-nine million, eight hundred fifteen thousand, two hundred".