413012221221042 has 12 divisors (see below), whose sum is σ = 894859812645630. Its totient is φ = 137670740407008.

The previous prime is 413012221221013. The next prime is 413012221221053. The reversal of 413012221221042 is 240122122210314.

413012221221042 is a `hidden beast` number, since 4 + 1 + 301 + 222 + 122 + 10 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412667087295681 + 345133925361 = 20314209^2 + 587481^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413012221220997 and 413012221221015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11472561700567 + ... + 11472561700602.

Almost surely, 2^{413012221221042} is an apocalyptic number.

413012221221042 is an abundant number, since it is smaller than the sum of its proper divisors (481847591424588).

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

413012221221042 is a wasteful number, since it uses less digits than its factorization.

413012221221042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22945123401177 (or 22945123401174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 413012221221042 its reverse (240122122210314), we get a palindrome (653134343431356).

The spelling of 413012221221042 in words is "four hundred thirteen trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, forty-two".