30027301307406 has 192 divisors, whose sum is σ = 73520071934400. Its totient is φ = 8792689231872.

The previous prime is 30027301307383. The next prime is 30027301307413. The reversal of 30027301307406 is 60470310372003.

30027301307406 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 7 + 301 + 307 + 40 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799025925 + ... + 799063503.

It is an arithmetic number, because the mean of its divisors is an integer number (382917041325).

Almost surely, 2^{30027301307406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027301307406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36760035967200).

30027301307406 is an abundant number, since it is smaller than the sum of its proper divisors (43492770626994).

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

30027301307406 is a wasteful number, since it uses less digits than its factorization.

30027301307406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39315 (or 39312 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

Adding to 30027301307406 its reverse (60470310372003), we get a palindrome (90497611679409).

The spelling of 30027301307406 in words is "thirty trillion, twenty-seven billion, three hundred one million, three hundred seven thousand, four hundred six".