413103310200 has 576 divisors, whose sum is σ = 1670807347200. Its totient is φ = 93534739200.

The previous prime is 413103310163. The next prime is 413103310229. The reversal of 413103310200 is 2013301314.

413103310200 is a `hidden beast` number, since 4 + 1 + 310 + 331 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28304905 + ... + 28319495.

It is an arithmetic number, because the mean of its divisors is an integer number (2900707200).

Almost surely, 2^413103310200 is an apocalyptic number.

413103310200 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 413103310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835403673600).

413103310200 is an abundant number, since it is smaller than the sum of its proper divisors (1257704037000).

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

413103310200 is a wasteful number, since it uses less digits than its factorization.

413103310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14737 (or 14715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 413103310200 its reverse (2013301314), we get a palindrome (415116611514).

The spelling of 413103310200 in words is "four hundred thirteen billion, one hundred three million, three hundred ten thousand, two hundred".