413241221200 has 120 divisors (see below), whose sum is σ = 998971339520. Its totient is φ = 164273356800.

The previous prime is 413241221171. The next prime is 413241221203. The reversal of 413241221200 is 2122142314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413241221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64900417 + ... + 64906783.

Almost surely, 2^413241221200 is an apocalyptic number.

413241221200 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 413241221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499485669760).

413241221200 is an abundant number, since it is smaller than the sum of its proper divisors (585730118320).

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

413241221200 is a wasteful number, since it uses less digits than its factorization.

413241221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 413241221200 its reverse (2122142314), we get a palindrome (415363363514).

The spelling of 413241221200 in words is "four hundred thirteen billion, two hundred forty-one million, two hundred twenty-one thousand, two hundred".