216440040505201 has 2 divisors, whose sum is σ = 216440040505202. Its totient is φ = 216440040505200.

The previous prime is 216440040505187. The next prime is 216440040505223. The reversal of 216440040505201 is 102505040044612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203735086016400 + 12704954488801 = 14273580^2 + 3564401^2 .

It is a cyclic number.

It is not a de Polignac number, because 216440040505201 - 2³³ = 216431450570609 is a prime.

It is a super-2 number, since 2×216440040505201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (216440040905201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108220020252600 + 108220020252601.

It is an arithmetic number, because the mean of its divisors is an integer number (108220020252601).

Almost surely, 2^{216440040505201} is an apocalyptic number.

It is an amenable number.

216440040505201 is a deficient number, since it is larger than the sum of its proper divisors (1).

216440040505201 is an equidigital number, since it uses as much as digits as its factorization.

216440040505201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 216440040505201 its reverse (102505040044612), we get a palindrome (318945080549813).

The spelling of 216440040505201 in words is "two hundred sixteen trillion, four hundred forty billion, forty million, five hundred five thousand, two hundred one".