413444312131312 has 240 divisors, whose sum is σ = 1027484636774400. Its totient is φ = 159355769126400.

The previous prime is 413444312131307. The next prime is 413444312131327. The reversal of 413444312131312 is 213131213444314.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 381700737 + ... + 382782367.

It is an arithmetic number, because the mean of its divisors is an integer number (4281185986560).

Almost surely, 2^{413444312131312} 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 413444312131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513742318387200).

413444312131312 is an abundant number, since it is smaller than the sum of its proper divisors (614040324643088).

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

413444312131312 is a wasteful number, since it uses less digits than its factorization.

413444312131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082140 (or 1082127 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

Adding to 413444312131312 its reverse (213131213444314), we get a palindrome (626575525575626).

The spelling of 413444312131312 in words is "four hundred thirteen trillion, four hundred forty-four billion, three hundred twelve million, one hundred thirty-one thousand, three hundred twelve".