220044024400 has 30 divisors (see below), whose sum is σ = 528655769582. Its totient is φ = 88017609600.

The previous prime is 220044024367. The next prime is 220044024437. The reversal of 220044024400 is 4420440022.

220044024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3774382096 + 216269642304 = 61436^2 + 465048^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275054631 + ... + 275055430.

Almost surely, 2^220044024400 is an apocalyptic number.

220044024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220044024400 is an abundant number, since it is smaller than the sum of its proper divisors (308611745182).

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

220044024400 is a wasteful number, since it uses less digits than its factorization.

220044024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550110079 (or 550110068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 220044024400 its reverse (4420440022), we get a palindrome (224464464422).

It can be divided in two parts, 22004 and 4024400, that added together give a palindrome (4046404).

The spelling of 220044024400 in words is "two hundred twenty billion, forty-four million, twenty-four thousand, four hundred".