41938713728 has 72 divisors (see below), whose sum is σ = 87451439355. Its totient is φ = 20032159488.

The previous prime is 41938713709. The next prime is 41938713749. The reversal of 41938713728 is 82731783914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20969356864 + 20969356864 = 144808^2 + 144808^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=144808.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41938713728.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 53288951 + ... + 53289737.

Almost surely, 2^41938713728 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 41938713728

41938713728 is an abundant number, since it is smaller than the sum of its proper divisors (45512725627).

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

41938713728 is an frugal number, since it uses more digits than its factorization.

41938713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 812 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The spelling of 41938713728 in words is "forty-one billion, nine hundred thirty-eight million, seven hundred thirteen thousand, seven hundred twenty-eight".