413010444300 has 144 divisors (see below), whose sum is σ = 1198813271040. Its totient is φ = 109783203840.

The previous prime is 413010444299. The next prime is 413010444307. The reversal of 413010444300 is 3444010314.

It is not an unprimeable number, because it can be changed into a prime (413010444307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149261517 + ... + 149264283.

It is an arithmetic number, because the mean of its divisors is an integer number (8325092160).

Almost surely, 2^413010444300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413010444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599406635520).

413010444300 is an abundant number, since it is smaller than the sum of its proper divisors (785802826740).

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

413010444300 is a wasteful number, since it uses less digits than its factorization.

413010444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413010444300 its reverse (3444010314), we get a palindrome (416454454614).

The spelling of 413010444300 in words is "four hundred thirteen billion, ten million, four hundred forty-four thousand, three hundred".