220434301333024 has 48 divisors (see below), whose sum is σ = 444488001914880. Its totient is φ = 107553255102720.

The previous prime is 220434301332961. The next prime is 220434301333063. The reversal of 220434301333024 is 420333103434022.

It is a super-4 number, since 4×220434301333024⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73458592 + ... + 76400479.

It is an arithmetic number, because the mean of its divisors is an integer number (9260166706560).

Almost surely, 2^{220434301333024} is an apocalyptic number.

It is an amenable number.

220434301333024 is an abundant number, since it is smaller than the sum of its proper divisors (224053700581856).

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

220434301333024 is a wasteful number, since it uses less digits than its factorization.

220434301333024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149860193 (or 149860185 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 220434301333024 its reverse (420333103434022), we get a palindrome (640767404767046).

The spelling of 220434301333024 in words is "two hundred twenty trillion, four hundred thirty-four billion, three hundred one million, three hundred thirty-three thousand, twenty-four".