413033121312 has 192 divisors, whose sum is σ = 1254364360704. Its totient is φ = 116561617920.

The previous prime is 413033121283. The next prime is 413033121349. The reversal of 413033121312 is 213121330314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27471237 + ... + 27486267.

It is an arithmetic number, because the mean of its divisors is an integer number (6533147712).

Almost surely, 2^413033121312 is an apocalyptic number.

413033121312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413033121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627182180352).

413033121312 is an abundant number, since it is smaller than the sum of its proper divisors (841331239392).

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

413033121312 is a wasteful number, since it uses less digits than its factorization.

413033121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551 (or 15543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 413033121312 its reverse (213121330314), we get a palindrome (626154451626).

The spelling of 413033121312 in words is "four hundred thirteen billion, thirty-three million, one hundred twenty-one thousand, three hundred twelve".