411223311200 has 576 divisors, whose sum is σ = 1162275609600. Its totient is φ = 140908584960.

The previous prime is 411223311073. The next prime is 411223311203. The reversal of 411223311200 is 2113322114.

It is a super-2 number, since 2×411223311200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411223311203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2066448701 + ... + 2066448899.

It is an arithmetic number, because the mean of its divisors is an integer number (2017839600).

Almost surely, 2^411223311200 is an apocalyptic number.

411223311200 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 411223311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581137804800).

411223311200 is an abundant number, since it is smaller than the sum of its proper divisors (751052298400).

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

411223311200 is a wasteful number, since it uses less digits than its factorization.

411223311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 411223311200 its reverse (2113322114), we get a palindrome (413336633314).

The spelling of 411223311200 in words is "four hundred eleven billion, two hundred twenty-three million, three hundred eleven thousand, two hundred".