440641122001 has 2 divisors, whose sum is σ = 440641122002. Its totient is φ = 440641122000.

The previous prime is 440641121951. The next prime is 440641122013. The reversal of 440641122001 is 100221146044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259846082001 + 180795040000 = 509751^2 + 425200^2 .

It is a cyclic number.

It is not a de Polignac number, because 440641122001 - 2¹¹ = 440641119953 is a prime.

It is not a weakly prime, because it can be changed into another prime (440641122091) 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, 220320561000 + 220320561001.

It is an arithmetic number, because the mean of its divisors is an integer number (220320561001).

Almost surely, 2^440641122001 is an apocalyptic number.

It is an amenable number.

440641122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

440641122001 is an equidigital number, since it uses as much as digits as its factorization.

440641122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 440641122001 its reverse (100221146044), we get a palindrome (540862268045).

The spelling of 440641122001 in words is "four hundred forty billion, six hundred forty-one million, one hundred twenty-two thousand, one".