440004401000 has 128 divisors (see below), whose sum is σ = 1034345894400. Its totient is φ = 175194316800.

The previous prime is 440004400999. The next prime is 440004401003. The reversal of 440004401000 is 104400044.

It is a self number, because there is not a number n which added to its sum of digits gives 440004401000.

It is not an unprimeable number, because it can be changed into a prime (440004401003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381616424 + ... + 381617576.

It is an arithmetic number, because the mean of its divisors is an integer number (8080827300).

Almost surely, 2^440004401000 is an apocalyptic number.

440004401000 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 440004401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517172947200).

440004401000 is an abundant number, since it is smaller than the sum of its proper divisors (594341493400).

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

440004401000 is a wasteful number, since it uses less digits than its factorization.

440004401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 440004401000 its reverse (104400044), we get a palindrome (440108801044).

The spelling of 440004401000 in words is "four hundred forty billion, four million, four hundred one thousand".