413324112202120 has 64 divisors (see below), whose sum is σ = 1062835781166720. Its totient is φ = 141710810878464.

The previous prime is 413324112202093. The next prime is 413324112202147. The reversal of 413324112202120 is 21202211423314.

It is an interprime number because it is at equal distance from previous prime (413324112202093) and next prime (413324112202147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150534684 + ... + 153255796.

It is an arithmetic number, because the mean of its divisors is an integer number (16606809080730).

Almost surely, 2^{413324112202120} is an apocalyptic number.

413324112202120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413324112202120 is an abundant number, since it is smaller than the sum of its proper divisors (649511668964600).

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

413324112202120 is a wasteful number, since it uses less digits than its factorization.

413324112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263614 (or 3263610 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 413324112202120 its reverse (21202211423314), we get a palindrome (434526323625434).

The spelling of 413324112202120 in words is "four hundred thirteen trillion, three hundred twenty-four billion, one hundred twelve million, two hundred two thousand, one hundred twenty".