405344144040121 has 48 divisors (see below), whose sum is σ = 500132935596672. Its totient is φ = 325041145228800.

The previous prime is 405344144040089. The next prime is 405344144040139. The reversal of 405344144040121 is 121040441443504.

It is not a de Polignac number, because 405344144040121 - 2⁵ = 405344144040089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405344144080121) 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 in 47 ways as a sum of consecutive naturals, for example, 39012301 + ... + 48297493.

It is an arithmetic number, because the mean of its divisors is an integer number (10419436158264).

Almost surely, 2^{405344144040121} is an apocalyptic number.

It is an amenable number.

405344144040121 is a deficient number, since it is larger than the sum of its proper divisors (94788791556551).

405344144040121 is a wasteful number, since it uses less digits than its factorization.

405344144040121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286274 (or 9286261 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 405344144040121 its reverse (121040441443504), we get a palindrome (526384585483625).

The spelling of 405344144040121 in words is "four hundred five trillion, three hundred forty-four billion, one hundred forty-four million, forty thousand, one hundred twenty-one".