444041232044100 has 144 divisors (see below), whose sum is σ = 1326503111700480. Its totient is φ = 114565367030400.

The previous prime is 444041232044099. The next prime is 444041232044143. The reversal of 444041232044100 is 1440232140444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35736391 + ... + 46531409.

Almost surely, 2^{444041232044100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444041232044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663251555850240).

444041232044100 is an abundant number, since it is smaller than the sum of its proper divisors (882461879656380).

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

444041232044100 is a wasteful number, since it uses less digits than its factorization.

444041232044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799490 (or 10799483 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 444041232044100 its reverse (1440232140444), we get a palindrome (445481464184544).

The spelling of 444041232044100 in words is "four hundred forty-four trillion, forty-one billion, two hundred thirty-two million, forty-four thousand, one hundred".