413334303200 has 576 divisors, whose sum is σ = 1264819046400. Its totient is φ = 128427171840.

The previous prime is 413334303199. The next prime is 413334303241. The reversal of 413334303200 is 2303433314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 413334303200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1492181462 + ... + 1492181738.

It is an arithmetic number, because the mean of its divisors is an integer number (2195866400).

Almost surely, 2^413334303200 is an apocalyptic number.

413334303200 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 413334303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632409523200).

413334303200 is an abundant number, since it is smaller than the sum of its proper divisors (851484743200).

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

413334303200 is a wasteful number, since it uses less digits than its factorization.

413334303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 413334303200 its reverse (2303433314), we get a palindrome (415637736514).

The spelling of 413334303200 in words is "four hundred thirteen billion, three hundred thirty-four million, three hundred three thousand, two hundred".