413233404200 has 96 divisors (see below), whose sum is σ = 963876879360. Its totient is φ = 164759212800.

The previous prime is 413233404149. The next prime is 413233404247. The reversal of 413233404200 is 2404332314.

It is a self number, because there is not a number n which added to its sum of digits gives 413233404200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184725482 + ... + 184727718.

It is an arithmetic number, because the mean of its divisors is an integer number (10040384160).

Almost surely, 2^413233404200 is an apocalyptic number.

413233404200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413233404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481938439680).

413233404200 is an abundant number, since it is smaller than the sum of its proper divisors (550643475160).

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

413233404200 is a wasteful number, since it uses less digits than its factorization.

413233404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 413233404200 its reverse (2404332314), we get a palindrome (415637736514).

The spelling of 413233404200 in words is "four hundred thirteen billion, two hundred thirty-three million, four hundred four thousand, two hundred".