413221300320042 has 64 divisors (see below), whose sum is σ = 934050473516160. Its totient is φ = 135390143814912.

The previous prime is 413221300320011. The next prime is 413221300320079. The reversal of 413221300320042 is 240023003122314.

413221300320042 is a `hidden beast` number, since 4 + 1 + 32 + 2 + 1 + 300 + 320 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413221300319988 and 413221300320015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233116383 + ... + 234882290.

It is an arithmetic number, because the mean of its divisors is an integer number (14594538648690).

Almost surely, 2^{413221300320042} is an apocalyptic number.

413221300320042 is an abundant number, since it is smaller than the sum of its proper divisors (520829173196118).

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

413221300320042 is a wasteful number, since it uses less digits than its factorization.

413221300320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467998964 (or 467998958 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413221300320042 its reverse (240023003122314), we get a palindrome (653244303442356).

The spelling of 413221300320042 in words is "four hundred thirteen trillion, two hundred twenty-one billion, three hundred million, three hundred twenty thousand, forty-two".