444034410431401 has 8 divisors (see below), whose sum is σ = 448487547745608. Its totient is φ = 439582386000000.

The previous prime is 444034410431393. The next prime is 444034410431429. The reversal of 444034410431401 is 104134014430444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 205524193293225 + 238510217138176 = 14336115^2 + 15443776^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 444034410431401 - 2³ = 444034410431393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444034410431431) 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, 277418700 + ... + 279014701.

It is an arithmetic number, because the mean of its divisors is an integer number (56060943468201).

Almost surely, 2^{444034410431401} is an apocalyptic number.

It is an amenable number.

444034410431401 is a deficient number, since it is larger than the sum of its proper divisors (4453137314207).

444034410431401 is a wasteful number, since it uses less digits than its factorization.

444034410431401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556441403.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 444034410431401 its reverse (104134014430444), we get a palindrome (548168424861845).

The spelling of 444034410431401 in words is "four hundred forty-four trillion, thirty-four billion, four hundred ten million, four hundred thirty-one thousand, four hundred one".