413053121200 has 120 divisors (see below), whose sum is σ = 1008991448192. Its totient is φ = 162474024960.

The previous prime is 413053121167. The next prime is 413053121213. The reversal of 413053121200 is 2121350314.

It is a happy number.

It is a super-2 number, since 2×413053121200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057697 + ... + 6125503.

Almost surely, 2^413053121200 is an apocalyptic number.

413053121200 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 413053121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504495724096).

413053121200 is an abundant number, since it is smaller than the sum of its proper divisors (595938326992).

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

413053121200 is a wasteful number, since it uses less digits than its factorization.

413053121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68079 (or 68068 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 413053121200 its reverse (2121350314), we get a palindrome (415174471514).

The spelling of 413053121200 in words is "four hundred thirteen billion, fifty-three million, one hundred twenty-one thousand, two hundred".