41002410144001 has 2 divisors, whose sum is σ = 41002410144002. Its totient is φ = 41002410144000.

The previous prime is 41002410143941. The next prime is 41002410144053. The reversal of 41002410144001 is 10044101420014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33078325893376 + 7924084250625 = 5751376^2 + 2814975^2 .

It is a cyclic number.

It is not a de Polignac number, because 41002410144001 - 2⁷ = 41002410143873 is a prime.

It is a super-2 number, since 2×41002410144001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41002410144061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20501205072000 + 20501205072001.

It is an arithmetic number, because the mean of its divisors is an integer number (20501205072001).

Almost surely, 2^{41002410144001} is an apocalyptic number.

It is an amenable number.

41002410144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41002410144001 is an equidigital number, since it uses as much as digits as its factorization.

41002410144001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 41002410144001 its reverse (10044101420014), we get a palindrome (51046511564015).

The spelling of 41002410144001 in words is "forty-one trillion, two billion, four hundred ten million, one hundred forty-four thousand, one".