30082425806400 has 672 divisors, whose sum is σ = 118957785643008. Its totient is φ = 6565298995200.

The previous prime is 30082425806387. The next prime is 30082425806401. The reversal of 30082425806400 is 460852428003.

It is not an unprimeable number, because it can be changed into a prime (30082425806401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19916229 + ... + 21373371.

Almost surely, 2^{30082425806400} is an apocalyptic number.

30082425806400 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 30082425806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59478892821504).

30082425806400 is an abundant number, since it is smaller than the sum of its proper divisors (88875359836608).

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

30082425806400 is a wasteful number, since it uses less digits than its factorization.

30082425806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457219 (or 1457204 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 30082425806400 in words is "thirty trillion, eighty-two billion, four hundred twenty-five million, eight hundred six thousand, four hundred".