4400004400 has 120 divisors (see below), whose sum is σ = 11647366128. Its totient is φ = 1584000000.

The previous prime is 4400004361. The next prime is 4400004407. The reversal of 4400004400 is 44000044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4400004407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439450 + ... + 449350.

Almost surely, 2^4400004400 is an apocalyptic number.

4400004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823683064).

4400004400 is an abundant number, since it is smaller than the sum of its proper divisors (7247361728).

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

4400004400 is a wasteful number, since it uses less digits than its factorization.

4400004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4400004400 is about 66332.5289733476. The cubic root of 4400004400 is about 1638.6430874153.

Adding to 4400004400 its reverse (44000044), we get a palindrome (4444004444).

4400004400 divided by its reverse (44000044) gives a square (100 = 10²).

It can be divided in two parts, 440000 and 4400, that multiplied together give a square (1936000000 = 44000²).

The spelling of 4400004400 in words is "four billion, four hundred million, four thousand, four hundred".