13171421442816 has 1152 divisors, whose sum is σ = 49825904486400. Its totient is φ = 3338170859520.

The previous prime is 13171421442791. The next prime is 13171421442827. The reversal of 13171421442816 is 61824412417131.

It is a happy number.

13171421442816 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 1 + 4 + 214 + 428 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4140652746 + ... + 4140655926.

It is an arithmetic number, because the mean of its divisors is an integer number (43251653200).

Almost surely, 2^{13171421442816} is an apocalyptic number.

13171421442816 is a gapful number since it is divisible by the number (16) 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 13171421442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24912952243200).

13171421442816 is an abundant number, since it is smaller than the sum of its proper divisors (36654483043584).

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

13171421442816 is a wasteful number, since it uses less digits than its factorization.

13171421442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3462 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

Adding to 13171421442816 its reverse (61824412417131), we get a palindrome (74995833859947).

The spelling of 13171421442816 in words is "thirteen trillion, one hundred seventy-one billion, four hundred twenty-one million, four hundred forty-two thousand, eight hundred sixteen".