413324043000 has 768 divisors, whose sum is σ = 1573769433600. Its totient is φ = 89303040000.

The previous prime is 413324042977. The next prime is 413324043007. The reversal of 413324043000 is 340423314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413324043007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181201860 + ... + 181204140.

It is an arithmetic number, because the mean of its divisors is an integer number (2049178950).

Almost surely, 2^413324043000 is an apocalyptic number.

413324043000 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 413324043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786884716800).

413324043000 is an abundant number, since it is smaller than the sum of its proper divisors (1160445390600).

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

413324043000 is a wasteful number, since it uses less digits than its factorization.

413324043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 413324043000 its reverse (340423314), we get a palindrome (413664466314).

The spelling of 413324043000 in words is "four hundred thirteen billion, three hundred twenty-four million, forty-three thousand".