444044001132100 has 18 divisors (see below), whose sum is σ = 963575482456874. Its totient is φ = 177617600452800.

The previous prime is 444044001132077. The next prime is 444044001132181. The reversal of 444044001132100 is 1231100440444.

It can be written as a sum of positive squares in 3 ways, for example, as 164500003396 + 443879501128704 = 405586^2 + 21068448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2220220005561 + ... + 2220220005760.

Almost surely, 2^{444044001132100} is an apocalyptic number.

It is an amenable number.

444044001132100 is an abundant number, since it is smaller than the sum of its proper divisors (519531481324774).

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

444044001132100 is a wasteful number, since it uses less digits than its factorization.

444044001132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440440011335 (or 4440440011328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444044001132100 its reverse (1231100440444), we get a palindrome (445275101572544).

The spelling of 444044001132100 in words is "four hundred forty-four trillion, forty-four billion, one million, one hundred thirty-two thousand, one hundred".