4220341530400 has 144 divisors (see below), whose sum is σ = 10345720956480. Its totient is φ = 1681135948800.

The previous prime is 4220341530389. The next prime is 4220341530401. The reversal of 4220341530400 is 40351430224.

It is a happy number.

It is a super-2 number, since 2×4220341530400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4220341530401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200395071 + ... + 200416129.

It is an arithmetic number, because the mean of its divisors is an integer number (71845284420).

Almost surely, 2^{4220341530400} is an apocalyptic number.

4220341530400 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 4220341530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172860478240).

4220341530400 is an abundant number, since it is smaller than the sum of its proper divisors (6125379426080).

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

4220341530400 is a wasteful number, since it uses less digits than its factorization.

4220341530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22107 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 4220341530400 its reverse (40351430224), we get a palindrome (4260692960624).

The spelling of 4220341530400 in words is "four trillion, two hundred twenty billion, three hundred forty-one million, five hundred thirty thousand, four hundred".