1405605106341 has 20 divisors (see below), whose sum is σ = 2120520513804. Its totient is φ = 927792144000.

The previous prime is 1405605106277. The next prime is 1405605106387. The reversal of 1405605106341 is 1436015065041.

1405605106341 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 6 + 0 + 5 + 10 + 634 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 652969044225 + 752636062116 = 808065^2 + 867546^2 .

It is not a de Polignac number, because 1405605106341 - 2⁶ = 1405605106277 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1405605106296 and 1405605106305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405605506341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85898500 + ... + 85914861.

Almost surely, 2^{1405605106341} is an apocalyptic number.

It is an amenable number.

1405605106341 is a deficient number, since it is larger than the sum of its proper divisors (714915407463).

1405605106341 is a wasteful number, since it uses less digits than its factorization.

1405605106341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171813474 (or 171813465 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1405605106341 in words is "one trillion, four hundred five billion, six hundred five million, one hundred six thousand, three hundred forty-one".