30040896384 has 192 divisors, whose sum is σ = 94922558640. Its totient is φ = 9424429056.

The previous prime is 30040896377. The next prime is 30040896419. The reversal of 30040896384 is 48369804003.

30040896384 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 0 + 8 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500362 + ... + 557174.

Almost surely, 2^30040896384 is an apocalyptic number.

30040896384 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 30040896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47461279320).

30040896384 is an abundant number, since it is smaller than the sum of its proper divisors (64881662256).

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

30040896384 is an equidigital number, since it uses as much as digits as its factorization.

30040896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56859 (or 56835 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 30040896384 in words is "thirty billion, forty million, eight hundred ninety-six thousand, three hundred eighty-four".