13742557547040 has 576 divisors, whose sum is σ = 54554017819392. Its totient is φ = 3085157376000.

The previous prime is 13742557547027. The next prime is 13742557547041. The reversal of 13742557547040 is 4074575524731.

13742557547040 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 5 + 57 + 547 + 0 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (13742557547041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431014939 + ... + 431046821.

It is an arithmetic number, because the mean of its divisors is an integer number (94711836492).

Almost surely, 2^{13742557547040} is an apocalyptic number.

13742557547040 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 13742557547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27277008909696).

13742557547040 is an abundant number, since it is smaller than the sum of its proper divisors (40811460272352).

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

13742557547040 is a wasteful number, since it uses less digits than its factorization.

13742557547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32673 (or 32662 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 13742557547040 in words is "thirteen trillion, seven hundred forty-two billion, five hundred fifty-seven million, five hundred forty-seven thousand, forty".