4404410440000 has 280 divisors, whose sum is σ = 11234649636320. Its totient is φ = 1711404288000.

The previous prime is 4404410439983. The next prime is 4404410440007. The reversal of 4404410440000 is 440144044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404410440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1093717987 + ... + 1093722013.

Almost surely, 2^{4404410440000} is an apocalyptic number.

4404410440000 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 4404410440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617324818160).

4404410440000 is an abundant number, since it is smaller than the sum of its proper divisors (6830239196320).

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

4404410440000 is an equidigital number, since it uses as much as digits as its factorization.

4404410440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4404410440000 its reverse (440144044), we get a palindrome (4404850584044).

The spelling of 4404410440000 in words is "four trillion, four hundred four billion, four hundred ten million, four hundred forty thousand".