405120716541 has 16 divisors (see below), whose sum is σ = 619539448320. Its totient is φ = 261368203680.

The previous prime is 405120716521. The next prime is 405120716573. The reversal of 405120716541 is 145617021504.

405120716541 is a `hidden beast` number, since 40 + 5 + 1 + 2 + 0 + 71 + 6 + 541 = 666.

It is not a de Polignac number, because 405120716541 - 2⁹ = 405120716029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405120716496 and 405120716505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405120716521) 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 15 ways as a sum of consecutive naturals, for example, 242006760 + ... + 242008433.

It is an arithmetic number, because the mean of its divisors is an integer number (38721215520).

Almost surely, 2^405120716541 is an apocalyptic number.

It is an amenable number.

405120716541 is a deficient number, since it is larger than the sum of its proper divisors (214418731779).

405120716541 is a wasteful number, since it uses less digits than its factorization.

405120716541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484015233 (or 484015227 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 405120716541 in words is "four hundred five billion, one hundred twenty million, seven hundred sixteen thousand, five hundred forty-one".