30906608040 has 384 divisors, whose sum is σ = 125474469120. Its totient is φ = 6409728000.

The previous prime is 30906608021. The next prime is 30906608053. The reversal of 30906608040 is 4080660903.

30906608040 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 6 + 608 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30906607986 and 30906608004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23755390 + ... + 23756690.

It is an arithmetic number, because the mean of its divisors is an integer number (326756430).

Almost surely, 2^30906608040 is an apocalyptic number.

30906608040 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 30906608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62737234560).

30906608040 is an abundant number, since it is smaller than the sum of its proper divisors (94567861080).

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

30906608040 is a wasteful number, since it uses less digits than its factorization.

30906608040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30906608040 in words is "thirty billion, nine hundred six million, six hundred eight thousand, forty".