413120220030522 has 192 divisors, whose sum is σ = 950003059838976. Its totient is φ = 129540763779840.

The previous prime is 413120220030499. The next prime is 413120220030527. The reversal of 413120220030522 is 225030022021314.

413120220030522 is a `hidden beast` number, since 4 + 1 + 312 + 0 + 2 + 20 + 0 + 305 + 22 = 666.

It is a super-2 number, since 2×413120220030522² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413120220030527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4354407678 + ... + 4354502550.

It is an arithmetic number, because the mean of its divisors is an integer number (4947932603328).

Almost surely, 2^{413120220030522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413120220030522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475001529919488).

413120220030522 is an abundant number, since it is smaller than the sum of its proper divisors (536882839808454).

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

413120220030522 is a wasteful number, since it uses less digits than its factorization.

413120220030522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95825 (or 95822 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 413120220030522 its reverse (225030022021314), we get a palindrome (638150242051836).

The spelling of 413120220030522 in words is "four hundred thirteen trillion, one hundred twenty billion, two hundred twenty million, thirty thousand, five hundred twenty-two".