206401640224 has 48 divisors (see below), whose sum is σ = 437804535168. Its totient is φ = 95220202752.

The previous prime is 206401640219. The next prime is 206401640279. The reversal of 206401640224 is 422046104602.

It is a happy number.

It is a super-3 number, since 3×206401640224³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842919 + ... + 1059865.

It is an arithmetic number, because the mean of its divisors is an integer number (9120927816).

Almost surely, 2^206401640224 is an apocalyptic number.

It is an amenable number.

206401640224 is an abundant number, since it is smaller than the sum of its proper divisors (231402894944).

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

206401640224 is a wasteful number, since it uses less digits than its factorization.

206401640224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219257 (or 219249 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 206401640224 its reverse (422046104602), we get a palindrome (628447744826).

The spelling of 206401640224 in words is "two hundred six billion, four hundred one million, six hundred forty thousand, two hundred twenty-four".