405224461561761 has 6 divisors (see below), whose sum is σ = 585324222255890. Its totient is φ = 270149641041168.

The previous prime is 405224461561727. The next prime is 405224461561783. The reversal of 405224461561761 is 167165164422504.

405224461561761 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 2 + 4 + 4 + 6 + 1 + 561 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232829268457536 + 172395193104225 = 15258744^2 + 13129935^2 .

It is a de Polignac number, because none of the positive numbers 2^k-405224461561761 is a prime.

It is a super-2 number, since 2×405224461561761² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405224461561698 and 405224461561707.

It is not an unprimeable number, because it can be changed into a prime (405224461561861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22512470086756 + ... + 22512470086773.

Almost surely, 2^{405224461561761} is an apocalyptic number.

It is an amenable number.

405224461561761 is a deficient number, since it is larger than the sum of its proper divisors (180099760694129).

405224461561761 is a wasteful number, since it uses less digits than its factorization.

405224461561761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45024940173535 (or 45024940173532 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 405224461561761 in words is "four hundred five trillion, two hundred twenty-four billion, four hundred sixty-one million, five hundred sixty-one thousand, seven hundred sixty-one".