224442001341000 has 96 divisors (see below), whose sum is σ = 758613964563000. Its totient is φ = 59851200355200.

The previous prime is 224442001340933. The next prime is 224442001341013. The reversal of 224442001341000 is 143100244422.

224442001341000 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 420 + 0 + 134 + 100 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50232571200036 + 174209430140964 = 7087494^2 + 13198842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12468991075 + ... + 12469009074.

Almost surely, 2^{224442001341000} is an apocalyptic number.

224442001341000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224442001341000 is an abundant number, since it is smaller than the sum of its proper divisors (534171963222000).

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

224442001341000 is a wasteful number, since it uses less digits than its factorization.

224442001341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24938000176 (or 24938000159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224442001341000 its reverse (143100244422), we get a palindrome (224585101585422).

The spelling of 224442001341000 in words is "two hundred twenty-four trillion, four hundred forty-two billion, one million, three hundred forty-one thousand".