13973272165440 has 448 divisors, whose sum is σ = 56358126673920. Its totient is φ = 3192675194880.

The previous prime is 13973272165397. The next prime is 13973272165469. The reversal of 13973272165440 is 4456127237931.

13973272165440 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 32 + 7 + 2 + 165 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 163918669 + ... + 164003891.

Almost surely, 2^{13973272165440} is an apocalyptic number.

13973272165440 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 13973272165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179063336960).

13973272165440 is an abundant number, since it is smaller than the sum of its proper divisors (42384854508480).

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

13973272165440 is a wasteful number, since it uses less digits than its factorization.

13973272165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87967 (or 87951 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13973272165440 in words is "thirteen trillion, nine hundred seventy-three billion, two hundred seventy-two million, one hundred sixty-five thousand, four hundred forty".