4004441300 has 72 divisors (see below), whose sum is σ = 8994242040. Its totient is φ = 1546444800.

The previous prime is 4004441297. The next prime is 4004441377. The reversal of 4004441300 is 31444004.

It can be written as a sum of positive squares in 12 ways, for example, as 2728808644 + 1275632656 = 52238^2 + 35716^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392666 + ... + 402734.

Almost surely, 2^4004441300 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 4004441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497121020).

4004441300 is an abundant number, since it is smaller than the sum of its proper divisors (4989800740).

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

4004441300 is a wasteful number, since it uses less digits than its factorization.

4004441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4004441300 is about 63280.6550218943. The cubic root of 4004441300 is about 1587.9883450174.

Adding to 4004441300 its reverse (31444004), we get a palindrome (4035885304).

The spelling of 4004441300 in words is "four billion, four million, four hundred forty-one thousand, three hundred".