413243032132120 has 128 divisors (see below), whose sum is σ = 971038778054400. Its totient is φ = 158143603677696.

The previous prime is 413243032132019. The next prime is 413243032132121. The reversal of 413243032132120 is 21231230342314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413243032132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20759487 + ... + 35460433.

It is an arithmetic number, because the mean of its divisors is an integer number (7586240453550).

Almost surely, 2^{413243032132120} is an apocalyptic number.

413243032132120 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 413243032132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485519389027200).

413243032132120 is an abundant number, since it is smaller than the sum of its proper divisors (557795745922280).

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

413243032132120 is a wasteful number, since it uses less digits than its factorization.

413243032132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14701337 (or 14701333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 413243032132120 its reverse (21231230342314), we get a palindrome (434474262474434).

The spelling of 413243032132120 in words is "four hundred thirteen trillion, two hundred forty-three billion, thirty-two million, one hundred thirty-two thousand, one hundred twenty".