44330004100 has 72 divisors (see below), whose sum is σ = 101897618760. Its totient is φ = 16681912320.

The previous prime is 44330004023. The next prime is 44330004101. The reversal of 44330004100 is 140003344.

It can be written as a sum of positive squares in 12 ways, for example, as 7702168644 + 36627835456 = 87762^2 + 191384^2 .

It is not an unprimeable number, because it can be changed into a prime (44330004101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5893542 + ... + 5901058.

It is an arithmetic number, because the mean of its divisors is an integer number (1415244705).

Almost surely, 2^44330004100 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 44330004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948809380).

44330004100 is an abundant number, since it is smaller than the sum of its proper divisors (57567614660).

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

44330004100 is a wasteful number, since it uses less digits than its factorization.

44330004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 44330004100 its reverse (140003344), we get a palindrome (44470007444).

The spelling of 44330004100 in words is "forty-four billion, three hundred thirty million, four thousand, one hundred".