4044400000400 has 30 divisors (see below), whose sum is σ = 9716671001922. Its totient is φ = 1617760000000.

The previous prime is 4044400000393. The next prime is 4044400000439. The reversal of 4044400000400 is 40000044404.

4044400000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 968318977024 + 3076081023376 = 984032^2 + 1753876^2 .

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

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, 5055499601 + ... + 5055500400.

Almost surely, 2^{4044400000400} is an apocalyptic number.

4044400000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044400000400 is an abundant number, since it is smaller than the sum of its proper divisors (5672271001522).

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

4044400000400 is a wasteful number, since it uses less digits than its factorization.

4044400000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111000019 (or 10111000008 counting only the distinct ones).

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

Adding to 4044400000400 its reverse (40000044404), we get a palindrome (4084400044804).

The spelling of 4044400000400 in words is "four trillion, forty-four billion, four hundred million, four hundred", and thus it is an aban number.