4400040004000 has 48 divisors (see below), whose sum is σ = 10810898299656. Its totient is φ = 1760016000000.

The previous prime is 4400040003937. The next prime is 4400040004037. The reversal of 4400040004000 is 4000400044.

It can be written as a sum of positive squares in 4 ways, for example, as 205031462416 + 4195008541584 = 452804^2 + 2048172^2 .

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

4400040004000 is a modest number, since divided by 40004000 gives 44000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550001001 + ... + 550009000.

Almost surely, 2^{4400040004000} is an apocalyptic number.

4400040004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400040004000 is an abundant number, since it is smaller than the sum of its proper divisors (6410858295656).

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

4400040004000 is a wasteful number, since it uses less digits than its factorization.

4400040004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100010026 (or 1100010008 counting only the distinct ones).

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

Adding to 4400040004000 its reverse (4000400044), we get a palindrome (4404040404044).

The spelling of 4400040004000 in words is "four trillion, four hundred billion, forty million, four thousand".