444041444100 has 144 divisors (see below), whose sum is σ = 1312903968768. Its totient is φ = 115820242560.

The previous prime is 444041444059. The next prime is 444041444117. The reversal of 444041444100 is 1444140444.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25187889 + ... + 25205511.

It is an arithmetic number, because the mean of its divisors is an integer number (9117388672).

Almost surely, 2^444041444100 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 444041444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656451984384).

444041444100 is an abundant number, since it is smaller than the sum of its proper divisors (868862524668).

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

444041444100 is a wasteful number, since it uses less digits than its factorization.

444041444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 444041444100 its reverse (1444140444), we get a palindrome (445485584544).

The spelling of 444041444100 in words is "four hundred forty-four billion, forty-one million, four hundred forty-four thousand, one hundred".