413033412012 has 96 divisors (see below), whose sum is σ = 1072002914304. Its totient is φ = 122913676800.

The previous prime is 413033411971. The next prime is 413033412017. The reversal of 413033412012 is 210214330314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413033412017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8297943 + ... + 8347569.

It is an arithmetic number, because the mean of its divisors is an integer number (11166697024).

Almost surely, 2^413033412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413033412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536001457152).

413033412012 is an abundant number, since it is smaller than the sum of its proper divisors (658969502292).

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

413033412012 is a wasteful number, since it uses less digits than its factorization.

413033412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51399 (or 51397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413033412012 its reverse (210214330314), we get a palindrome (623247742326).

The spelling of 413033412012 in words is "four hundred thirteen billion, thirty-three million, four hundred twelve thousand, twelve".