4400404000000 has 126 divisors (see below), whose sum is σ = 10979393094782. Its totient is φ = 1760160000000.

The previous prime is 4400403999973. The next prime is 4400404000001. The reversal of 4400404000000 is 4040044.

It can be written as a sum of positive squares in 7 ways, for example, as 4396301853696 + 4102146304 = 2096736^2 + 64048^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400404000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3449950 + ... + 4550050.

Almost surely, 2^{4400404000000} is an apocalyptic number.

4400404000000 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 4400404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489696547391).

4400404000000 is an abundant number, since it is smaller than the sum of its proper divisors (6578989094782).

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

4400404000000 is an frugal number, since it uses more digits than its factorization.

4400404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100147 (or 1100108 counting only the distinct ones).

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

Adding to 4400404000000 its reverse (4040044), we get a palindrome (4400408040044).

The spelling of 4400404000000 in words is "four trillion, four hundred billion, four hundred four million", and thus it is an aban number.