205442114004 has 36 divisors (see below), whose sum is σ = 520758594720. Its totient is φ = 68289946320.

The previous prime is 205442113997. The next prime is 205442114027. The reversal of 205442114004 is 400411244502.

205442114004 is a `hidden beast` number, since 2 + 0 + 5 + 44 + 211 + 400 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7935162 + ... + 7961009.

It is an arithmetic number, because the mean of its divisors is an integer number (14465516520).

Almost surely, 2^205442114004 is an apocalyptic number.

It is an amenable number.

205442114004 is an abundant number, since it is smaller than the sum of its proper divisors (315316480716).

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

205442114004 is a wasteful number, since it uses less digits than its factorization.

205442114004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896540 (or 15896535 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 205442114004 its reverse (400411244502), we get a palindrome (605853358506).

The spelling of 205442114004 in words is "two hundred five billion, four hundred forty-two million, one hundred fourteen thousand, four".