242200433420 has 96 divisors (see below), whose sum is σ = 570460859136. Its totient is φ = 85601491200.

The previous prime is 242200433411. The next prime is 242200433443. The reversal of 242200433420 is 24334002242.

It is a happy number.

It is a super-2 number, since 2×242200433420² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242200433420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7888619 + ... + 7919261.

It is an arithmetic number, because the mean of its divisors is an integer number (5942300616).

Almost surely, 2^242200433420 is an apocalyptic number.

242200433420 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 242200433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285230429568).

242200433420 is an abundant number, since it is smaller than the sum of its proper divisors (328260425716).

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

242200433420 is a wasteful number, since it uses less digits than its factorization.

242200433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31671 (or 31669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242200433420 its reverse (24334002242), we get a palindrome (266534435662).

The spelling of 242200433420 in words is "two hundred forty-two billion, two hundred million, four hundred thirty-three thousand, four hundred twenty".