413033443320 has 128 divisors (see below), whose sum is σ = 1304550432000. Its totient is φ = 104326548480.

The previous prime is 413033443313. The next prime is 413033443321. The reversal of 413033443320 is 23344330314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033443321) 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, 16241415 + ... + 16266825.

It is an arithmetic number, because the mean of its divisors is an integer number (10191800250).

Almost surely, 2^413033443320 is an apocalyptic number.

413033443320 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 413033443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652275216000).

413033443320 is an abundant number, since it is smaller than the sum of its proper divisors (891516988680).

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

413033443320 is a wasteful number, since it uses less digits than its factorization.

413033443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32573 (or 32569 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 413033443320 its reverse (23344330314), we get a palindrome (436377773634).

The spelling of 413033443320 in words is "four hundred thirteen billion, thirty-three million, four hundred forty-three thousand, three hundred twenty".