413221211200 has 336 divisors, whose sum is σ = 1229530769280. Its totient is φ = 133524357120.

The previous prime is 413221211171. The next prime is 413221211233. The reversal of 413221211200 is 2112122314.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41916672 + ... + 41926528.

Almost surely, 2^413221211200 is an apocalyptic number.

413221211200 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 413221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614765384640).

413221211200 is an abundant number, since it is smaller than the sum of its proper divisors (816309558080).

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

413221211200 is a wasteful number, since it uses less digits than its factorization.

413221211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 413221211200 its reverse (2112122314), we get a palindrome (415333333514).

The spelling of 413221211200 in words is "four hundred thirteen billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".