413211414120 has 128 divisors (see below), whose sum is σ = 1252602627840. Its totient is φ = 109038182400.

The previous prime is 413211414061. The next prime is 413211414127. The reversal of 413211414120 is 21414112314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (413211414127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24437589 + ... + 24454491.

It is an arithmetic number, because the mean of its divisors is an integer number (9785958030).

Almost surely, 2^413211414120 is an apocalyptic number.

413211414120 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 413211414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626301313920).

413211414120 is an abundant number, since it is smaller than the sum of its proper divisors (839391213720).

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

413211414120 is a wasteful number, since it uses less digits than its factorization.

413211414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 413211414120 its reverse (21414112314), we get a palindrome (434625526434).

The spelling of 413211414120 in words is "four hundred thirteen billion, two hundred eleven million, four hundred fourteen thousand, one hundred twenty".