4444400004401 has 16 divisors (see below), whose sum is σ = 5113569312000. Its totient is φ = 3783796110528.

The previous prime is 4444400004329. The next prime is 4444400004463. The reversal of 4444400004401 is 1044000044444.

It is not a de Polignac number, because 4444400004401 - 2¹⁰ = 4444400003377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4444400004491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48546596 + ... + 48638058.

It is an arithmetic number, because the mean of its divisors is an integer number (319598082000).

Almost surely, 2^{4444400004401} is an apocalyptic number.

It is an amenable number.

4444400004401 is a deficient number, since it is larger than the sum of its proper divisors (669169307599).

4444400004401 is a wasteful number, since it uses less digits than its factorization.

4444400004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138208.

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4444400004401 its reverse (1044000044444), we get a palindrome (5488400048845).

The spelling of 4444400004401 in words is "four trillion, four hundred forty-four billion, four hundred million, four thousand, four hundred one".