220344424000 has 112 divisors (see below), whose sum is σ = 551310505200. Its totient is φ = 87228825600.

The previous prime is 220344423997. The next prime is 220344424021. The reversal of 220344424000 is 424443022.

It can be written as a sum of positive squares in 8 ways, for example, as 46114985536 + 174229438464 = 214744^2 + 417408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 634026 + ... + 917974.

It is an arithmetic number, because the mean of its divisors is an integer number (4922415225).

Almost surely, 2^220344424000 is an apocalyptic number.

220344424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220344424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275655252600).

220344424000 is an abundant number, since it is smaller than the sum of its proper divisors (330966081200).

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

220344424000 is an equidigital number, since it uses as much as digits as its factorization.

220344424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284073 (or 284053 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 220344424000 its reverse (424443022), we get a palindrome (220768867022).

The spelling of 220344424000 in words is "two hundred twenty billion, three hundred forty-four million, four hundred twenty-four thousand".