220420024400 has 60 divisors (see below), whose sum is σ = 532932248412. Its totient is φ = 87606405120.

The previous prime is 220420024393. The next prime is 220420024417. The reversal of 220420024400 is 4420024022.

It can be written as a sum of positive squares in 6 ways, for example, as 1010222656 + 219409801744 = 31784^2 + 468412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1692137 + ... + 1817736.

Almost surely, 2^220420024400 is an apocalyptic number.

220420024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220420024400 is an abundant number, since it is smaller than the sum of its proper divisors (312512224012).

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

220420024400 is a wasteful number, since it uses less digits than its factorization.

220420024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510048 (or 3510037 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 220420024400 its reverse (4420024022), we get a palindrome (224840048422).

The spelling of 220420024400 in words is "two hundred twenty billion, four hundred twenty million, twenty-four thousand, four hundred".