224040130000 has 100 divisors (see below), whose sum is σ = 546567392448. Its totient is φ = 88931440000.

The previous prime is 224040129889. The next prime is 224040130003. The reversal of 224040130000 is 31040422.

224040130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224040130003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1224489 + ... + 1395511.

Almost surely, 2^224040130000 is an apocalyptic number.

224040130000 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 224040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273283696224).

224040130000 is an abundant number, since it is smaller than the sum of its proper divisors (322527262448).

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

224040130000 is a wasteful number, since it uses less digits than its factorization.

224040130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171182 (or 171161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 224040130000 its reverse (31040422), we get a palindrome (224071170422).

The spelling of 224040130000 in words is "two hundred twenty-four billion, forty million, one hundred thirty thousand".