13742042688 has 168 divisors, whose sum is σ = 44561942880. Its totient is φ = 4164203520.

The previous prime is 13742042617. The next prime is 13742042779. The reversal of 13742042688 is 88624024731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130908 + ... + 211236.

It is an arithmetic number, because the mean of its divisors is an integer number (265249660).

Almost surely, 2^13742042688 is an apocalyptic number.

13742042688 is a gapful number since it is divisible by the number (18) 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 13742042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280971440).

13742042688 is an abundant number, since it is smaller than the sum of its proper divisors (30819900192).

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

13742042688 is an equidigital number, since it uses as much as digits as its factorization.

13742042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80367 (or 80345 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13742042688 in words is "thirteen billion, seven hundred forty-two million, forty-two thousand, six hundred eighty-eight".