224421400010000 has 200 divisors, whose sum is σ = 544622859447744. Its totient is φ = 89557824960000.

The previous prime is 224421400009979. The next prime is 224421400010009. The reversal of 224421400010000 is 10004124422.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (224421400010009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 32000766494 + ... + 32000773506.

Almost surely, 2^{224421400010000} is an apocalyptic number.

224421400010000 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 224421400010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272311429723872).

224421400010000 is an abundant number, since it is smaller than the sum of its proper divisors (320201459437744).

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

224421400010000 is an equidigital number, since it uses as much as digits as its factorization.

224421400010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 224421400010000 its reverse (10004124422), we get a palindrome (224431404134422).

The spelling of 224421400010000 in words is "two hundred twenty-four trillion, four hundred twenty-one billion, four hundred million, ten thousand".