413323321200 has 60 divisors (see below), whose sum is σ = 1324012376088. Its totient is φ = 110219552000.

The previous prime is 413323321157. The next prime is 413323321249. The reversal of 413323321200 is 2123323314.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172216851 + ... + 172219250.

Almost surely, 2^413323321200 is an apocalyptic number.

413323321200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413323321200 is an abundant number, since it is smaller than the sum of its proper divisors (910689054888).

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

413323321200 is a wasteful number, since it uses less digits than its factorization.

413323321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344436122 (or 344436111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413323321200 its reverse (2123323314), we get a palindrome (415446644514).

The spelling of 413323321200 in words is "four hundred thirteen billion, three hundred twenty-three million, three hundred twenty-one thousand, two hundred".