411324322400 has 144 divisors (see below), whose sum is σ = 1016311983120. Its totient is φ = 162539520000.

The previous prime is 411324322379. The next prime is 411324322403. The reversal of 411324322400 is 4223423114.

It is a self number, because there is not a number n which added to its sum of digits gives 411324322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411324322403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 126520775 + ... + 126524025.

It is an arithmetic number, because the mean of its divisors is an integer number (7057722105).

Almost surely, 2^411324322400 is an apocalyptic number.

411324322400 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 411324322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508155991560).

411324322400 is an abundant number, since it is smaller than the sum of its proper divisors (604987660720).

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

411324322400 is a wasteful number, since it uses less digits than its factorization.

411324322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 411324322400 its reverse (4223423114), we get a palindrome (415547745514).

The spelling of 411324322400 in words is "four hundred eleven billion, three hundred twenty-four million, three hundred twenty-two thousand, four hundred".