4444404440401 has 6 divisors (see below), whose sum is σ = 4690631833602. Its totient is φ = 4210488416880.

The previous prime is 4444404440393. The next prime is 4444404440419. The reversal of 4444404440401 is 1040444044444.

It can be written as a sum of positive squares in only one way, i.e., 4434187274001 + 10217166400 = 2105751^2 + 101080^2 .

It is not a de Polignac number, because 4444404440401 - 2³ = 4444404440393 is a prime.

It is a super-2 number, since 2×4444404440401² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4444404440471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6155684460 + ... + 6155685181.

It is an arithmetic number, because the mean of its divisors is an integer number (781771972267).

Almost surely, 2^{4444404440401} is an apocalyptic number.

It is an amenable number.

4444404440401 is a deficient number, since it is larger than the sum of its proper divisors (246227393201).

4444404440401 is a wasteful number, since it uses less digits than its factorization.

4444404440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311369679 (or 12311369660 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 37.

Adding to 4444404440401 its reverse (1040444044444), we get a palindrome (5484848484845).

The spelling of 4444404440401 in words is "four trillion, four hundred forty-four billion, four hundred four million, four hundred forty thousand, four hundred one".