21413284224 has 128 divisors (see below), whose sum is σ = 59964641280. Its totient is φ = 6760366080.

The previous prime is 21413284223. The next prime is 21413284231. The reversal of 21413284224 is 42248231412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21413284223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540352 + ... + 578624.

It is an arithmetic number, because the mean of its divisors is an integer number (468473760).

Almost surely, 2^21413284224 is an apocalyptic number.

21413284224 is a gapful number since it is divisible by the number (24) 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 21413284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29982320640).

21413284224 is an abundant number, since it is smaller than the sum of its proper divisors (38551357056).

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

21413284224 is a wasteful number, since it uses less digits than its factorization.

21413284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38368 (or 38356 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The spelling of 21413284224 in words is "twenty-one billion, four hundred thirteen million, two hundred eighty-four thousand, two hundred twenty-four".