401144322001 has 2 divisors, whose sum is σ = 401144322002. Its totient is φ = 401144322000.

The previous prime is 401144321999. The next prime is 401144322011. The reversal of 401144322001 is 100223441104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 383874419776 + 17269902225 = 619576^2 + 131415^2 .

It is a cyclic number.

It is not a de Polignac number, because 401144322001 - 2¹ = 401144321999 is a prime.

Together with 401144321999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (401144322011) 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 as a sum of consecutive naturals, namely, 200572161000 + 200572161001.

It is an arithmetic number, because the mean of its divisors is an integer number (200572161001).

Almost surely, 2^401144322001 is an apocalyptic number.

It is an amenable number.

401144322001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401144322001 is an equidigital number, since it uses as much as digits as its factorization.

401144322001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 401144322001 its reverse (100223441104), we get a palindrome (501367763105).

The spelling of 401144322001 in words is "four hundred one billion, one hundred forty-four million, three hundred twenty-two thousand, one".