440004000000 has 504 divisors, whose sum is σ = 1504875737344. Its totient is φ = 114048000000.

The previous prime is 440003999999. The next prime is 440004000001. The reversal of 440004000000 is 400044.

It is an interprime number because it is at equal distance from previous prime (440003999999) and next prime (440004000001).

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 a self number, because there is not a number n which added to its sum of digits gives 440004000000.

It is not an unprimeable number, because it can be changed into a prime (440004000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 443999505 + ... + 444000495.

Almost surely, 2^440004000000 is an apocalyptic number.

440004000000 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 440004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752437868672).

440004000000 is an abundant number, since it is smaller than the sum of its proper divisors (1064871737344).

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

440004000000 is an frugal number, since it uses more digits than its factorization.

440004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1038 counting only the distinct ones).

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

Adding to 440004000000 its reverse (400044), we get a palindrome (440004400044).

The spelling of 440004000000 in words is "four hundred forty billion, four million", and thus it is an aban number.