30934855725840 has 1440 divisors, whose sum is σ = 126526252694400. Its totient is φ = 6690771763200.

The previous prime is 30934855725827. The next prime is 30934855725883. The reversal of 30934855725840 is 4852755843903.

30934855725840 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 4 + 8 + 5 + 572 + 58 + 4 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 7335747412 + ... + 7335751628.

It is an arithmetic number, because the mean of its divisors is an integer number (87865453260).

Almost surely, 2^{30934855725840} is an apocalyptic number.

30934855725840 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 30934855725840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63263126347200).

30934855725840 is an abundant number, since it is smaller than the sum of its proper divisors (95591396968560).

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

30934855725840 is a wasteful number, since it uses less digits than its factorization.

30934855725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 30934855725840 in words is "thirty trillion, nine hundred thirty-four billion, eight hundred fifty-five million, seven hundred twenty-five thousand, eight hundred forty".