414145134405 has 12 divisors (see below), whose sum is σ = 717851566380. Its totient is φ = 220877404992.

The previous prime is 414145134401. The next prime is 414145134407. The reversal of 414145134405 is 504431541414.

414145134405 is a `hidden beast` number, since 41 + 41 + 45 + 134 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 251250560001 + 162894574404 = 501249^2 + 403602^2 .

It is not a de Polignac number, because 414145134405 - 2² = 414145134401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414145134405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414145134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4601612560 + ... + 4601612649.

It is an arithmetic number, because the mean of its divisors is an integer number (59820963865).

Almost surely, 2^414145134405 is an apocalyptic number.

414145134405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414145134405 is a deficient number, since it is larger than the sum of its proper divisors (303706431975).

414145134405 is a wasteful number, since it uses less digits than its factorization.

414145134405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203225220 (or 9203225217 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 414145134405 its reverse (504431541414), we get a palindrome (918576675819).

The spelling of 414145134405 in words is "four hundred fourteen billion, one hundred forty-five million, one hundred thirty-four thousand, four hundred five".