205412350400 has 42 divisors (see below), whose sum is σ = 505442768640. Its totient is φ = 82164939520.

The previous prime is 205412350337. The next prime is 205412350417. The reversal of 205412350400 is 4053214502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 205412350400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64189760 + ... + 64192959.

Almost surely, 2^205412350400 is an apocalyptic number.

205412350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205412350400 is an abundant number, since it is smaller than the sum of its proper divisors (300030418240).

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

205412350400 is a wasteful number, since it uses less digits than its factorization.

205412350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128382741 (or 128382726 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 205412350400 its reverse (4053214502), we get a palindrome (209465564902).

The spelling of 205412350400 in words is "two hundred five billion, four hundred twelve million, three hundred fifty thousand, four hundred".