413033040200 has 72 divisors (see below), whose sum is σ = 1055538424290. Its totient is φ = 150193824000.

The previous prime is 413033040193. The next prime is 413033040221. The reversal of 413033040200 is 2040330314.

It can be written as a sum of positive squares in 3 ways, for example, as 391943610916 + 21089429284 = 626054^2 + 145222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8509541 + ... + 8557940.

Almost surely, 2^413033040200 is an apocalyptic number.

413033040200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413033040200 is an abundant number, since it is smaller than the sum of its proper divisors (642505384090).

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

413033040200 is a wasteful number, since it uses less digits than its factorization.

413033040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17067519 (or 17067499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 413033040200 its reverse (2040330314), we get a palindrome (415073370514).

The spelling of 413033040200 in words is "four hundred thirteen billion, thirty-three million, forty thousand, two hundred".