21184834930400 has 72 divisors (see below), whose sum is σ = 51718260225744. Its totient is φ = 8473805849600.

The previous prime is 21184834930381. The next prime is 21184834930403. The reversal of 21184834930400 is 403943848112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21184834930403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66714404 + ... + 67031196.

It is an arithmetic number, because the mean of its divisors is an integer number (718309169802).

Almost surely, 2^{21184834930400} is an apocalyptic number.

21184834930400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21184834930400 is an abundant number, since it is smaller than the sum of its proper divisors (30533425295344).

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

21184834930400 is a wasteful number, since it uses less digits than its factorization.

21184834930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400404 (or 400391 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 21184834930400 in words is "twenty-one trillion, one hundred eighty-four billion, eight hundred thirty-four million, nine hundred thirty thousand, four hundred".