413323314400 has 72 divisors (see below), whose sum is σ = 1009704296664. Its totient is φ = 165218112000.

The previous prime is 413323314389. The next prime is 413323314419. The reversal of 413323314400 is 4413323314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021375 + ... + 1367425.

It is an arithmetic number, because the mean of its divisors is an integer number (14023670787).

Almost surely, 2^413323314400 is an apocalyptic number.

413323314400 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 413323314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504852148332).

413323314400 is an abundant number, since it is smaller than the sum of its proper divisors (596380982264).

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

413323314400 is a wasteful number, since it uses less digits than its factorization.

413323314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347564 (or 347551 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413323314400 its reverse (4413323314), we get a palindrome (417736637714).

The spelling of 413323314400 in words is "four hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, four hundred".