41294781728 has 18 divisors (see below), whose sum is σ = 81301364739. Its totient is φ = 20646816096.

The previous prime is 41294781727. The next prime is 41294781767. The reversal of 41294781728 is 82718749214.

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., 20647390864 + 20647390864 = 143692^2 + 143692^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=143692.

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 41294781728.

It is not an unprimeable number, because it can be changed into a prime (41294781721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1131575 + ... + 1167497.

Almost surely, 2^41294781728 is an apocalyptic number.

It is an amenable number.

41294781728 is a deficient number, since it is larger than the sum of its proper divisors (40006583011).

41294781728 is an frugal number, since it uses more digits than its factorization.

41294781728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71856 (or 35925 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 53.

The spelling of 41294781728 in words is "forty-one billion, two hundred ninety-four million, seven hundred eighty-one thousand, seven hundred twenty-eight".