4224130400000 has 432 divisors, whose sum is σ = 12210777085248. Its totient is φ = 1428295680000.

The previous prime is 4224130399997. The next prime is 4224130400003. The reversal of 4224130400000 is 40314224.

4224130400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4224130399997) and next prime (4224130400003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224130400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408794834 + ... + 408805166.

Almost surely, 2^{4224130400000} is an apocalyptic number.

4224130400000 is a gapful number since it is divisible by the number (40) 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 4224130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105388542624).

4224130400000 is an abundant number, since it is smaller than the sum of its proper divisors (7986646685248).

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

4224130400000 is an frugal number, since it uses more digits than its factorization.

4224130400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4224130400000 its reverse (40314224), we get a palindrome (4224170714224).

The spelling of 4224130400000 in words is "four trillion, two hundred twenty-four billion, one hundred thirty million, four hundred thousand".