21404514512000 has 64 divisors (see below), whose sum is σ = 53216974245240. Its totient is φ = 8561805798400.

The previous prime is 21404514511979. The next prime is 21404514512041. The reversal of 21404514512000 is 21541540412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12162963151936 + 9241551360064 = 3487544^2 + 3039992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668875079 + ... + 668907078.

Almost surely, 2^{21404514512000} is an apocalyptic number.

21404514512000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21404514512000 is an abundant number, since it is smaller than the sum of its proper divisors (31812459733240).

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

21404514512000 is an equidigital number, since it uses as much as digits as its factorization.

21404514512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337782186 (or 1337782164 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 21404514512000 in words is "twenty-one trillion, four hundred four billion, five hundred fourteen million, five hundred twelve thousand".