405406085760 has 192 divisors, whose sum is σ = 1507604159880. Its totient is φ = 99792248832.

The previous prime is 405406085729. The next prime is 405406085779. The reversal of 405406085760 is 67580604504.

405406085760 is a `hidden beast` number, since 40 + 540 + 6 + 0 + 8 + 5 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197754532416 + 207651553344 = 444696^2 + 455688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632159 + ... + 2781918.

Almost surely, 2^405406085760 is an apocalyptic number.

405406085760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405406085760 is an abundant number, since it is smaller than the sum of its proper divisors (1102198074120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405406085760 is a wasteful number, since it uses less digits than its factorization.

405406085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414115 (or 5414100 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 405406085760 in words is "four hundred five billion, four hundred six million, eighty-five thousand, seven hundred sixty".