4224120320420 has 384 divisors, whose sum is σ = 12315801157632. Its totient is φ = 1174084761600.

The previous prime is 4224120320377. The next prime is 4224120320423. The reversal of 4224120320420 is 240230214224.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4224120320420.

It is not an unprimeable number, because it can be changed into a prime (4224120320423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376710734 + ... + 376721946.

It is an arithmetic number, because the mean of its divisors is an integer number (32072398848).

Almost surely, 2^{4224120320420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224120320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157900578816).

4224120320420 is an abundant number, since it is smaller than the sum of its proper divisors (8091680837212).

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

4224120320420 is a wasteful number, since it uses less digits than its factorization.

4224120320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11889 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4224120320420 its reverse (240230214224), we get a palindrome (4464350534644).

The spelling of 4224120320420 in words is "four trillion, two hundred twenty-four billion, one hundred twenty million, three hundred twenty thousand, four hundred twenty".