220432242024 has 192 divisors, whose sum is σ = 656200621440. Its totient is φ = 69084887040.

The previous prime is 220432241989. The next prime is 220432242047. The reversal of 220432242024 is 420242234022.

220432242024 is a `hidden beast` number, since 2 + 2 + 0 + 432 + 24 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39423469 + ... + 39429059.

It is an arithmetic number, because the mean of its divisors is an integer number (3417711570).

Almost surely, 2^220432242024 is an apocalyptic number.

220432242024 is a gapful number since it is divisible by the number (24) 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 220432242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328100310720).

220432242024 is an abundant number, since it is smaller than the sum of its proper divisors (435768379416).

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

220432242024 is a wasteful number, since it uses less digits than its factorization.

220432242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 220432242024 its reverse (420242234022), we get a palindrome (640674476046).

The spelling of 220432242024 in words is "two hundred twenty billion, four hundred thirty-two million, two hundred forty-two thousand, twenty-four".