220444032034434 has 96 divisors (see below), whose sum is σ = 481397576103360. Its totient is φ = 66899480529024.

The previous prime is 220444032034379. The next prime is 220444032034477. The reversal of 220444032034434 is 434430230444022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220444032034392 and 220444032034401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460758612 + ... + 461236800.

It is an arithmetic number, because the mean of its divisors is an integer number (5014558084410).

Almost surely, 2^{220444032034434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220444032034434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240698788051680).

220444032034434 is an abundant number, since it is smaller than the sum of its proper divisors (260953544068926).

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

220444032034434 is a wasteful number, since it uses less digits than its factorization.

220444032034434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479312 (or 479233 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 220444032034434 its reverse (434430230444022), we get a palindrome (654874262478456).

The spelling of 220444032034434 in words is "two hundred twenty trillion, four hundred forty-four billion, thirty-two million, thirty-four thousand, four hundred thirty-four".