38542128725744 has 80 divisors (see below), whose sum is σ = 88115329591296. Its totient is φ = 15981760684800.

The previous prime is 38542128725701. The next prime is 38542128725767. The reversal of 38542128725744 is 44752782124583.

38542128725744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14902679 + ... + 17296649.

Almost surely, 2^{38542128725744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38542128725744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44057664795648).

38542128725744 is an abundant number, since it is smaller than the sum of its proper divisors (49573200865552).

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

38542128725744 is a wasteful number, since it uses less digits than its factorization.

38542128725744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398654 (or 2398648 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 62.

The spelling of 38542128725744 in words is "thirty-eight trillion, five hundred forty-two billion, one hundred twenty-eight million, seven hundred twenty-five thousand, seven hundred forty-four".