440144430000 has 400 divisors, whose sum is σ = 1587866620032. Its totient is φ = 104096000000.

The previous prime is 440144429983. The next prime is 440144430067. The reversal of 440144430000 is 34441044.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 13513735 + ... + 13546265.

Almost surely, 2^440144430000 is an apocalyptic number.

440144430000 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 440144430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793933310016).

440144430000 is an abundant number, since it is smaller than the sum of its proper divisors (1147722190032).

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

440144430000 is a wasteful number, since it uses less digits than its factorization.

440144430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32614 (or 32593 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 440144430000 its reverse (34441044), we get a palindrome (440178871044).

The spelling of 440144430000 in words is "four hundred forty billion, one hundred forty-four million, four hundred thirty thousand".