440004000400 has 30 divisors (see below), whose sum is σ = 1057109611922. Its totient is φ = 176001600000.

The previous prime is 440004000383. The next prime is 440004000413. The reversal of 440004000400 is 4000400044.

It can be written as a sum of positive squares in 3 ways, for example, as 4757688576 + 435246311824 = 68976^2 + 659732^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

440004000400 is a modest number, since divided by 4000400 gives 4400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550004601 + ... + 550005400.

Almost surely, 2^440004000400 is an apocalyptic number.

440004000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440004000400 is an abundant number, since it is smaller than the sum of its proper divisors (617105611522).

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

440004000400 is a wasteful number, since it uses less digits than its factorization.

440004000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100010019 (or 1100010008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 440004000400 its reverse (4000400044), we get a palindrome (444004400444).

The spelling of 440004000400 in words is "four hundred forty billion, four million, four hundred", and thus it is an aban number.