413333235105200 has 240 divisors, whose sum is σ = 1041148644471936. Its totient is φ = 157513545369600.

The previous prime is 413333235105179. The next prime is 413333235105253. The reversal of 413333235105200 is 2501532333314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3189554807 + ... + 3189684393.

Almost surely, 2^{413333235105200} is an apocalyptic number.

413333235105200 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 413333235105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520574322235968).

413333235105200 is an abundant number, since it is smaller than the sum of its proper divisors (627815409366736).

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

413333235105200 is a wasteful number, since it uses less digits than its factorization.

413333235105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134212 (or 134201 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 413333235105200 its reverse (2501532333314), we get a palindrome (415834767438514).

The spelling of 413333235105200 in words is "four hundred thirteen trillion, three hundred thirty-three billion, two hundred thirty-five million, one hundred five thousand, two hundred".