413311222204032 has 64 divisors (see below), whose sum is σ = 1098365968546560. Its totient is φ = 137706654044160.

The previous prime is 413311222204031. The next prime is 413311222204051. The reversal of 413311222204032 is 230402222113314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (413311222204031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248205648 + ... + 249865295.

It is an arithmetic number, because the mean of its divisors is an integer number (17161968258540).

Almost surely, 2^{413311222204032} is an apocalyptic number.

It is an amenable number.

413311222204032 is an abundant number, since it is smaller than the sum of its proper divisors (685054746342528).

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

413311222204032 is a wasteful number, since it uses less digits than its factorization.

413311222204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498073121 (or 498073109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 413311222204032 its reverse (230402222113314), we get a palindrome (643713444317346).

The spelling of 413311222204032 in words is "four hundred thirteen trillion, three hundred eleven billion, two hundred twenty-two million, two hundred four thousand, thirty-two".