413121130422 has 768 divisors, whose sum is σ = 1240553180160. Its totient is φ = 89800704000.

The previous prime is 413121130379. The next prime is 413121130427. The reversal of 413121130422 is 224031121314.

It is a super-2 number, since 2×413121130422² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413121130392 and 413121130401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413121130427) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4090308172 + ... + 4090308272.

It is an arithmetic number, because the mean of its divisors is an integer number (1615303620).

Almost surely, 2^413121130422 is an apocalyptic number.

413121130422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413121130422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620276590080).

413121130422 is an abundant number, since it is smaller than the sum of its proper divisors (827432049738).

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

413121130422 is a wasteful number, since it uses less digits than its factorization.

413121130422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413121130422 its reverse (224031121314), we get a palindrome (637152251736).

The spelling of 413121130422 in words is "four hundred thirteen billion, one hundred twenty-one million, one hundred thirty thousand, four hundred twenty-two".