21413415224000 has 224 divisors, whose sum is σ = 54549024678720. Its totient is φ = 8320794624000.

The previous prime is 21413415223943. The next prime is 21413415224027. The reversal of 21413415224000 is 42251431412.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 189679571 + ... + 189792429.

Almost surely, 2^{21413415224000} is an apocalyptic number.

21413415224000 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 21413415224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27274512339360).

21413415224000 is an abundant number, since it is smaller than the sum of its proper divisors (33135609454720).

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

21413415224000 is a wasteful number, since it uses less digits than its factorization.

21413415224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113564 (or 113544 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 21413415224000 its reverse (42251431412), we get a palindrome (21455666655412).

The spelling of 21413415224000 in words is "twenty-one trillion, four hundred thirteen billion, four hundred fifteen million, two hundred twenty-four thousand".