220424442432 has 224 divisors, whose sum is σ = 612633808512. Its totient is φ = 69879054336.

The previous prime is 220424442421. The next prime is 220424442449. The reversal of 220424442432 is 234244424022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220424442393 and 220424442402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59944978 + ... + 59948654.

Almost surely, 2^220424442432 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 220424442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306316904256).

220424442432 is an abundant number, since it is smaller than the sum of its proper divisors (392209366080).

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

220424442432 is a wasteful number, since it uses less digits than its factorization.

220424442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 220424442432 its reverse (234244424022), we get a palindrome (454668866454).

The spelling of 220424442432 in words is "two hundred twenty billion, four hundred twenty-four million, four hundred forty-two thousand, four hundred thirty-two".