30404987424 has 576 divisors, whose sum is σ = 112341116160. Its totient is φ = 7591034880.

The previous prime is 30404987413. The next prime is 30404987449. The reversal of 30404987424 is 42478940403.

30404987424 is a `hidden beast` number, since 30 + 40 + 498 + 74 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30404987424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34511464 + ... + 34512344.

It is an arithmetic number, because the mean of its divisors is an integer number (195036660).

Almost surely, 2^30404987424 is an apocalyptic number.

30404987424 is a gapful number since it is divisible by the number (34) 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 30404987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56170558080).

30404987424 is an abundant number, since it is smaller than the sum of its proper divisors (81936128736).

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

30404987424 is a wasteful number, since it uses less digits than its factorization.

30404987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 30404987424 in words is "thirty billion, four hundred four million, nine hundred eighty-seven thousand, four hundred twenty-four".