440404040000 has 560 divisors, whose sum is σ = 1234044979200. Its totient is φ = 154902528000.

The previous prime is 440404039979. The next prime is 440404040077. The reversal of 440404040000 is 40404044.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 1149879809 + ... + 1149880191.

Almost surely, 2^440404040000 is an apocalyptic number.

440404040000 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 440404040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617022489600).

440404040000 is an abundant number, since it is smaller than the sum of its proper divisors (793640939200).

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

440404040000 is a wasteful number, since it uses less digits than its factorization.

440404040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 440404040000 its reverse (40404044), we get a palindrome (440444444044).

The spelling of 440404040000 in words is "four hundred forty billion, four hundred four million, forty thousand".