214118127405 has 512 divisors, whose sum is σ = 514511585280. Its totient is φ = 81935400960.

The previous prime is 214118127373. The next prime is 214118127407. The reversal of 214118127405 is 504721811412.

214118127405 is a `hidden beast` number, since 2 + 14 + 118 + 127 + 405 = 666.

It is not a de Polignac number, because 214118127405 - 2⁵ = 214118127373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214118127405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214118127407) 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 511 ways as a sum of consecutive naturals, for example, 1014777750 + ... + 1014777960.

It is an arithmetic number, because the mean of its divisors is an integer number (1004905440).

Almost surely, 2^214118127405 is an apocalyptic number.

It is an amenable number.

214118127405 is an abundant number, since it is smaller than the sum of its proper divisors (300393457875).

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

214118127405 is a wasteful number, since it uses less digits than its factorization.

214118127405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 214118127405 its sum of digits (36), we get a square (214118127441 = 462729²).

Adding to 214118127405 its reverse (504721811412), we get a palindrome (718839938817).

The spelling of 214118127405 in words is "two hundred fourteen billion, one hundred eighteen million, one hundred twenty-seven thousand, four hundred five".