440440000000 has 960 divisors, whose sum is σ = 1488141502848. Its totient is φ = 126720000000.

The previous prime is 440439999997. The next prime is 440440000031. The reversal of 440440000000 is 44044.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33879999994 + ... + 33880000006.

Almost surely, 2^440440000000 is an apocalyptic number.

440440000000 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 440440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744070751424).

440440000000 is an abundant number, since it is smaller than the sum of its proper divisors (1047701502848).

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

440440000000 is an frugal number, since it uses more digits than its factorization.

440440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

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

Adding to 440440000000 its reverse (44044), we get a palindrome (440440044044).

440440000000 divided by its reverse (44044) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 440 and 440000000, that multiplied together give a square (193600000000 = 440000²).

The spelling of 440440000000 in words is "four hundred forty billion, four hundred forty million", and thus it is an aban number.