440004400400 has 120 divisors (see below), whose sum is σ = 1063906962888. Its totient is φ = 174873600000.

The previous prime is 440004400357. The next prime is 440004400453. The reversal of 440004400400 is 4004400044.

It can be written as a sum of positive squares in 12 ways, for example, as 17753963536 + 422250436864 = 133244^2 + 649808^2 .

It is a super-3 number, since 3×440004400400³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44435450 + ... + 44445350.

Almost surely, 2^440004400400 is an apocalyptic number.

440004400400 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 440004400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531953481444).

440004400400 is an abundant number, since it is smaller than the sum of its proper divisors (623902562488).

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

440004400400 is a wasteful number, since it uses less digits than its factorization.

440004400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10610 counting only the distinct ones).

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

Adding to 440004400400 its reverse (4004400044), we get a palindrome (444008800444).

The spelling of 440004400400 in words is "four hundred forty billion, four million, four hundred thousand, four hundred".