4224130432320 has 448 divisors, whose sum is σ = 14596742764800. Its totient is φ = 1032377794560.

The previous prime is 4224130432297. The next prime is 4224130432373. The reversal of 4224130432320 is 232340314224.

4224130432320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42183271 + ... + 42283289.

It is an arithmetic number, because the mean of its divisors is an integer number (32582015100).

Almost surely, 2^{4224130432320} is an apocalyptic number.

4224130432320 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 4224130432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298371382400).

4224130432320 is an abundant number, since it is smaller than the sum of its proper divisors (10372612332480).

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

4224130432320 is a wasteful number, since it uses less digits than its factorization.

4224130432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100146 (or 100136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4224130432320 its reverse (232340314224), we get a palindrome (4456470746544).

The spelling of 4224130432320 in words is "four trillion, two hundred twenty-four billion, one hundred thirty million, four hundred thirty-two thousand, three hundred twenty".