405241415022001 has 2 divisors, whose sum is σ = 405241415022002. Its totient is φ = 405241415022000.

The previous prime is 405241415021939. The next prime is 405241415022047. The reversal of 405241415022001 is 100220514142504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228266923335025 + 176974491686976 = 15108505^2 + 13303176^2 .

It is a cyclic number.

It is not a de Polignac number, because 405241415022001 - 2¹⁵ = 405241414989233 is a prime.

It is not a weakly prime, because it can be changed into another prime (405241415022071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202620707511000 + 202620707511001.

It is an arithmetic number, because the mean of its divisors is an integer number (202620707511001).

Almost surely, 2^{405241415022001} is an apocalyptic number.

It is an amenable number.

405241415022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

405241415022001 is an equidigital number, since it uses as much as digits as its factorization.

405241415022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 405241415022001 its reverse (100220514142504), we get a palindrome (505461929164505).

The spelling of 405241415022001 in words is "four hundred five trillion, two hundred forty-one billion, four hundred fifteen million, twenty-two thousand, one".