4404234044100 has 288 divisors, whose sum is σ = 14743586350080. Its totient is φ = 1004528448000.

The previous prime is 4404234044071. The next prime is 4404234044101. The reversal of 4404234044100 is 14404324044.

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

It is not an unprimeable number, because it can be changed into a prime (4404234044101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4154271 + ... + 5105529.

It is an arithmetic number, because the mean of its divisors is an integer number (51193008160).

Almost surely, 2^{4404234044100} 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 4404234044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371793175040).

4404234044100 is an abundant number, since it is smaller than the sum of its proper divisors (10339352305980).

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

4404234044100 is a wasteful number, since it uses less digits than its factorization.

4404234044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951371 (or 951364 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4404234044100 its reverse (14404324044), we get a palindrome (4418638368144).

The spelling of 4404234044100 in words is "four trillion, four hundred four billion, two hundred thirty-four million, forty-four thousand, one hundred".