220405442432 has 128 divisors (see below), whose sum is σ = 508181446080. Its totient is φ = 93265920000.

The previous prime is 220405442381. The next prime is 220405442479. The reversal of 220405442432 is 234244504022.

220405442432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40063682 + ... + 40069182.

Almost surely, 2^220405442432 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 220405442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254090723040).

220405442432 is an abundant number, since it is smaller than the sum of its proper divisors (287776003648).

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

220405442432 is an equidigital number, since it uses as much as digits as its factorization.

220405442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 220405442432 its reverse (234244504022), we get a palindrome (454649946454).

The spelling of 220405442432 in words is "two hundred twenty billion, four hundred five million, four hundred forty-two thousand, four hundred thirty-two".