13221174163440 has 480 divisors, whose sum is σ = 46624756538880. Its totient is φ = 3084676632576.

The previous prime is 13221174163429. The next prime is 13221174163451. The reversal of 13221174163440 is 4436147112231.

13221174163440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13221174163429) and next prime (13221174163451).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88129134 + ... + 88279026.

It is an arithmetic number, because the mean of its divisors is an integer number (97134909456).

Almost surely, 2^{13221174163440} is an apocalyptic number.

13221174163440 is a gapful number since it is divisible by the number (10) 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 13221174163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312378269440).

13221174163440 is an abundant number, since it is smaller than the sum of its proper divisors (33403582375440).

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

13221174163440 is a wasteful number, since it uses less digits than its factorization.

13221174163440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150009 (or 149974 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13221174163440 in words is "thirteen trillion, two hundred twenty-one billion, one hundred seventy-four million, one hundred sixty-three thousand, four hundred forty".