405189093321 has 24 divisors (see below), whose sum is σ = 587705902056. Its totient is φ = 269005271040.

The previous prime is 405189093319. The next prime is 405189093343. The reversal of 405189093321 is 123390981504.

It is a happy number.

405189093321 is a `hidden beast` number, since 40 + 518 + 9 + 0 + 93 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15120145296 + 390068948025 = 122964^2 + 624555^2 .

It is not a de Polignac number, because 405189093321 - 2¹ = 405189093319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405189093121) 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 23 ways as a sum of consecutive naturals, for example, 2333901 + ... + 2501493.

It is an arithmetic number, because the mean of its divisors is an integer number (24487745919).

Almost surely, 2^405189093321 is an apocalyptic number.

It is an amenable number.

405189093321 is a deficient number, since it is larger than the sum of its proper divisors (182516808735).

405189093321 is a wasteful number, since it uses less digits than its factorization.

405189093321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168713 (or 168710 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 405189093321 in words is "four hundred five billion, one hundred eighty-nine million, ninety-three thousand, three hundred twenty-one".