440000004000 has 384 divisors, whose sum is σ = 1484402879232. Its totient is φ = 113853542400.

The previous prime is 440000003923. The next prime is 440000004001. The reversal of 440000004000 is 400000044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (440000004001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 196690882 + ... + 196693118.

It is an arithmetic number, because the mean of its divisors is an integer number (3865632498).

Almost surely, 2^440000004000 is an apocalyptic number.

440000004000 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 440000004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742201439616).

440000004000 is an abundant number, since it is smaller than the sum of its proper divisors (1044402875232).

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

440000004000 is a wasteful number, since it uses less digits than its factorization.

440000004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 440000004000 its reverse (400000044), we get a palindrome (440400004044).

The spelling of 440000004000 in words is "four hundred forty billion, four thousand".