4004440044401 has 8 divisors (see below), whose sum is σ = 4182170225280. Its totient is φ = 3827011871232.

The previous prime is 4004440044389. The next prime is 4004440044413. The reversal of 4004440044401 is 1044400444004.

It is an interprime number because it is at equal distance from previous prime (4004440044389) and next prime (4004440044413).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004440044401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004440044481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75474821 + ... + 75527858.

It is an arithmetic number, because the mean of its divisors is an integer number (522771278160).

Almost surely, 2^{4004440044401} is an apocalyptic number.

It is an amenable number.

4004440044401 is a deficient number, since it is larger than the sum of its proper divisors (177730180879).

4004440044401 is a wasteful number, since it uses less digits than its factorization.

4004440044401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151003855.

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

Adding to 4004440044401 its reverse (1044400444004), we get a palindrome (5048840488405).

The spelling of 4004440044401 in words is "four trillion, four billion, four hundred forty million, forty-four thousand, four hundred one".