13140455114240 has 160 divisors (see below), whose sum is σ = 32520464539200. Its totient is φ = 5088416661504.

The previous prime is 13140455114233. The next prime is 13140455114273. The reversal of 13140455114240 is 4241155404131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 13140455114240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18500714 + ... + 19197846.

It is an arithmetic number, because the mean of its divisors is an integer number (203252903370).

Almost surely, 2^{13140455114240} is an apocalyptic number.

13140455114240 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 13140455114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260232269600).

13140455114240 is an abundant number, since it is smaller than the sum of its proper divisors (19380009424960).

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

13140455114240 is an equidigital number, since it uses as much as digits as its factorization.

13140455114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697392 (or 697376 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 13140455114240 in words is "thirteen trillion, one hundred forty billion, four hundred fifty-five million, one hundred fourteen thousand, two hundred forty".