4444034100 has 144 divisors (see below), whose sum is σ = 14292210240. Its totient is φ = 1056972800.

The previous prime is 4444034087. The next prime is 4444034113. The reversal of 4444034100 is 14304444.

It is an interprime number because it is at equal distance from previous prime (4444034087) and next prime (4444034113).

It is a congruent number.

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, 162196 + ... + 187604.

It is an arithmetic number, because the mean of its divisors is an integer number (99251460).

Almost surely, 2^4444034100 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 4444034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146105120).

4444034100 is an abundant number, since it is smaller than the sum of its proper divisors (9848176140).

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

4444034100 is a wasteful number, since it uses less digits than its factorization.

4444034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25490 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4444034100 is about 66663.5890122937. The cubic root of 4444034100 is about 1644.0907815085.

Adding to 4444034100 its reverse (14304444), we get a palindrome (4458338544).

The spelling of 4444034100 in words is "four billion, four hundred forty-four million, thirty-four thousand, one hundred".