30830460840 has 256 divisors, whose sum is σ = 110308780800. Its totient is φ = 7631511552.

The previous prime is 30830460811. The next prime is 30830460841. The reversal of 30830460840 is 4806403803.

30830460840 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 0 + 4 + 608 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 30830460795 and 30830460804.

It is not an unprimeable number, because it can be changed into a prime (30830460841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328779 + ... + 1351781.

It is an arithmetic number, because the mean of its divisors is an integer number (430893675).

Almost surely, 2^30830460840 is an apocalyptic number.

30830460840 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 30830460840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55154390400).

30830460840 is an abundant number, since it is smaller than the sum of its proper divisors (79478319960).

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

30830460840 is a wasteful number, since it uses less digits than its factorization.

30830460840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23113 (or 23103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30830460840 in words is "thirty billion, eight hundred thirty million, four hundred sixty thousand, eight hundred forty".