413242333300 has 72 divisors (see below), whose sum is σ = 919253788992. Its totient is φ = 161151840000.

The previous prime is 413242333279. The next prime is 413242333327. The reversal of 413242333300 is 3333242314.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 5914369 + ... + 5983831.

It is an arithmetic number, because the mean of its divisors is an integer number (12767413736).

Almost surely, 2^413242333300 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 413242333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459626894496).

413242333300 is an abundant number, since it is smaller than the sum of its proper divisors (506011455692).

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

413242333300 is a wasteful number, since it uses less digits than its factorization.

413242333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70969 (or 70962 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 413242333300 its reverse (3333242314), we get a palindrome (416575575614).

The spelling of 413242333300 in words is "four hundred thirteen billion, two hundred forty-two million, three hundred thirty-three thousand, three hundred".