440040344000000 has 280 divisors, whose sum is σ = 1119749638583664. Its totient is φ = 172694912000000.

The previous prime is 440040343999961. The next prime is 440040344000017. The reversal of 440040344000000 is 443040044.

It is a self number, because there is not a number n which added to its sum of digits gives 440040344000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 423481085 + ... + 424518915.

Almost surely, 2^{440040344000000} is an apocalyptic number.

440040344000000 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 440040344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559874819291832).

440040344000000 is an abundant number, since it is smaller than the sum of its proper divisors (679709294583664).

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

440040344000000 is an frugal number, since it uses more digits than its factorization.

440040344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037932 (or 1037891 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 440040344000000 its reverse (443040044), we get a palindrome (440040787040044).

The spelling of 440040344000000 in words is "four hundred forty trillion, forty billion, three hundred forty-four million", and thus it is an aban number.