13440119616000 has 2560 divisors, whose sum is σ = 62698627031040. Its totient is φ = 2756837376000.

The previous prime is 13440119615999. The next prime is 13440119616017. The reversal of 13440119616000 is 61691104431.

13440119616000 is a `hidden beast` number, since 1 + 3 + 4 + 40 + 1 + 1 + 9 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

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, 11043647392 + ... + 11043648608.

It is an arithmetic number, because the mean of its divisors is an integer number (24491651184).

Almost surely, 2^{13440119616000} is an apocalyptic number.

13440119616000 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 13440119616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31349313515520).

13440119616000 is an abundant number, since it is smaller than the sum of its proper divisors (49258507415040).

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

13440119616000 is a wasteful number, since it uses less digits than its factorization.

13440119616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13440119616000 in words is "thirteen trillion, four hundred forty billion, one hundred nineteen million, six hundred sixteen thousand".