13742054544000 has 512 divisors, whose sum is σ = 47068780561920. Its totient is φ = 3544719360000.

The previous prime is 13742054543963. The next prime is 13742054544013. The reversal of 13742054544000 is 44545024731.

It is a self number, because there is not a number n which added to its sum of digits gives 13742054544000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180585960 + ... + 180662040.

It is an arithmetic number, because the mean of its divisors is an integer number (91931212035).

Almost surely, 2^{13742054544000} is an apocalyptic number.

13742054544000 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 13742054544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534390280960).

13742054544000 is an abundant number, since it is smaller than the sum of its proper divisors (33326726017920).

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

13742054544000 is an equidigital number, since it uses as much as digits as its factorization.

13742054544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76237 (or 76215 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

Adding to 13742054544000 its reverse (44545024731), we get a palindrome (13786599568731).

The spelling of 13742054544000 in words is "thirteen trillion, seven hundred forty-two billion, fifty-four million, five hundred forty-four thousand".