13411444331232 has 192 divisors, whose sum is σ = 39490942901760. Its totient is φ = 4427768604672.

The previous prime is 13411444331209. The next prime is 13411444331267. The reversal of 13411444331232 is 23213344411431.

13411444331232 is a `hidden beast` number, since 1 + 3 + 41 + 14 + 44 + 331 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 139272733 + ... + 139368995.

It is an arithmetic number, because the mean of its divisors is an integer number (205681994280).

Almost surely, 2^{13411444331232} is an apocalyptic number.

13411444331232 is a gapful number since it is divisible by the number (12) 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 13411444331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745471450880).

13411444331232 is an abundant number, since it is smaller than the sum of its proper divisors (26079498570528).

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

13411444331232 is a wasteful number, since it uses less digits than its factorization.

13411444331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97822 (or 97808 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 13411444331232 its reverse (23213344411431), we get a palindrome (36624788742663).

The spelling of 13411444331232 in words is "thirteen trillion, four hundred eleven billion, four hundred forty-four million, three hundred thirty-one thousand, two hundred thirty-two".