413221302004 has 96 divisors (see below), whose sum is σ = 899737977600. Its totient is φ = 165403929600.

The previous prime is 413221301993. The next prime is 413221302007. The reversal of 413221302004 is 400203122314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413221302007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987824 + ... + 3123064.

It is an arithmetic number, because the mean of its divisors is an integer number (9372270600).

Almost surely, 2^413221302004 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 413221302004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449868988800).

413221302004 is an abundant number, since it is smaller than the sum of its proper divisors (486516675596).

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

413221302004 is a wasteful number, since it uses less digits than its factorization.

413221302004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135414 (or 135398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 413221302004 its reverse (400203122314), we get a palindrome (813424424318).

The spelling of 413221302004 in words is "four hundred thirteen billion, two hundred twenty-one million, three hundred two thousand, four".