21114504104400 has 720 divisors, whose sum is σ = 88878091580928. Its totient is φ = 4531451904000.

The previous prime is 21114504104389. The next prime is 21114504104431. The reversal of 21114504104400 is 440140541112.

It is a happy number.

21114504104400 is a `hidden beast` number, since 2 + 1 + 1 + 14 + 504 + 104 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180297865 + ... + 180414935.

Almost surely, 2^{21114504104400} is an apocalyptic number.

21114504104400 is a gapful number since it is divisible by the number (20) 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 21114504104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439045790464).

21114504104400 is an abundant number, since it is smaller than the sum of its proper divisors (67763587476528).

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

21114504104400 is a wasteful number, since it uses less digits than its factorization.

21114504104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117540 (or 117526 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 21114504104400 its reverse (440140541112), we get a palindrome (21554644645512).

The spelling of 21114504104400 in words is "twenty-one trillion, one hundred fourteen billion, five hundred four million, one hundred four thousand, four hundred".