205400420001 has 32 divisors (see below), whose sum is σ = 348109516800. Its totient is φ = 117256375440.

The previous prime is 205400419997. The next prime is 205400420047. The reversal of 205400420001 is 100024004502.

205400420001 is a `hidden beast` number, since 205 + 40 + 0 + 420 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 205400420001 - 2² = 205400419997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205400422001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340665 + ... + 725846.

It is an arithmetic number, because the mean of its divisors is an integer number (10878422400).

Almost surely, 2^205400420001 is an apocalyptic number.

205400420001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205400420001 is a deficient number, since it is larger than the sum of its proper divisors (142709096799).

205400420001 is a wasteful number, since it uses less digits than its factorization.

205400420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067546 (or 1067540 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 205400420001 its reverse (100024004502), we get a palindrome (305424424503).

The spelling of 205400420001 in words is "two hundred five billion, four hundred million, four hundred twenty thousand, one".