401410024013 has 2 divisors, whose sum is σ = 401410024014. Its totient is φ = 401410024012.

The previous prime is 401410023977. The next prime is 401410024051. The reversal of 401410024013 is 310420014104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386936249764 + 14473774249 = 622042^2 + 120307^2 .

It is a cyclic number.

It is not a de Polignac number, because 401410024013 - 2¹⁸ = 401409761869 is a prime.

It is a super-4 number, since 4×401410024013⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401410024313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200705012006 + 200705012007.

It is an arithmetic number, because the mean of its divisors is an integer number (200705012007).

Almost surely, 2^401410024013 is an apocalyptic number.

It is an amenable number.

401410024013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401410024013 is an equidigital number, since it uses as much as digits as its factorization.

401410024013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 401410024013 its reverse (310420014104), we get a palindrome (711830038117).

Subtracting from 401410024013 its reverse (310420014104), we obtain a palindrome (90990009909).

The spelling of 401410024013 in words is "four hundred one billion, four hundred ten million, twenty-four thousand, thirteen".