4440400424000 has 224 divisors, whose sum is σ = 11870462822400. Its totient is φ = 1640349849600.

The previous prime is 4440400423993. The next prime is 4440400424039. The reversal of 4440400424000 is 4240040444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4919921 + ... + 5752079.

It is an arithmetic number, because the mean of its divisors is an integer number (52993137600).

Almost surely, 2^{4440400424000} is an apocalyptic number.

4440400424000 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 4440400424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935231411200).

4440400424000 is an abundant number, since it is smaller than the sum of its proper divisors (7430062398400).

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

4440400424000 is a wasteful number, since it uses less digits than its factorization.

4440400424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832238 (or 832218 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4440400424000 its reverse (4240040444), we get a palindrome (4444640464444).

The spelling of 4440400424000 in words is "four trillion, four hundred forty billion, four hundred million, four hundred twenty-four thousand".