444044040401 has 6 divisors (see below), whose sum is σ = 480828753990. Its totient is φ = 409886806368.

The previous prime is 444044040389. The next prime is 444044040431. The reversal of 444044040401 is 104040440444.

It can be written as a sum of positive squares in 3 ways, for example, as 5503414225 + 438540626176 = 74185^2 + 662224^2 .

It is not a de Polignac number, because 444044040401 - 2¹⁰ = 444044039377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444044040431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1313739596 + ... + 1313739933.

It is an arithmetic number, because the mean of its divisors is an integer number (80138125665).

Almost surely, 2^444044040401 is an apocalyptic number.

It is an amenable number.

444044040401 is a deficient number, since it is larger than the sum of its proper divisors (36784713589).

444044040401 is a wasteful number, since it uses less digits than its factorization.

444044040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627479555 (or 2627479542 counting only the distinct ones).

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

Adding to 444044040401 its reverse (104040440444), we get a palindrome (548084480845).

The spelling of 444044040401 in words is "four hundred forty-four billion, forty-four million, forty thousand, four hundred one".