13727121408000 has 4608 divisors, whose sum is σ = 70351295938560. Its totient is φ = 2548039680000.

The previous prime is 13727121407981. The next prime is 13727121408023. The reversal of 13727121408000 is 80412172731.

13727121408000 is a `hidden beast` number, since 1 + 372 + 71 + 2 + 140 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-3 number, since 3×13727121408000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 442810367985 + ... + 442810368015.

It is an arithmetic number, because the mean of its divisors is an integer number (15267208320).

Almost surely, 2^{13727121408000} is an apocalyptic number.

13727121408000 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 13727121408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175647969280).

13727121408000 is an abundant number, since it is smaller than the sum of its proper divisors (56624174530560).

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

13727121408000 is an equidigital number, since it uses as much as digits as its factorization.

13727121408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13727121408000 in words is "thirteen trillion, seven hundred twenty-seven billion, one hundred twenty-one million, four hundred eight thousand".