444400404001 has 2 divisors, whose sum is σ = 444400404002. Its totient is φ = 444400404000.

The previous prime is 444400403977. The next prime is 444400404011. The reversal of 444400404001 is 100404004444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 432779779600 + 11620624401 = 657860^2 + 107799^2 .

It is a cyclic number.

It is not a de Polignac number, because 444400404001 - 2¹⁷ = 444400272929 is a prime.

It is not a weakly prime, because it can be changed into another prime (444400404011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222200202000 + 222200202001.

It is an arithmetic number, because the mean of its divisors is an integer number (222200202001).

Almost surely, 2^444400404001 is an apocalyptic number.

It is an amenable number.

444400404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

444400404001 is an equidigital number, since it uses as much as digits as its factorization.

444400404001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 444400404001 its reverse (100404004444), we get a palindrome (544804408445).

The spelling of 444400404001 in words is "four hundred forty-four billion, four hundred million, four hundred four thousand, one".