41638851137 has 32 divisors (see below), whose sum is σ = 47223540000. Its totient is φ = 36444119040.

The previous prime is 41638851119. The next prime is 41638851143. The reversal of 41638851137 is 73115883614.

41638851137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 204056²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 30848004496 + 10790846641 = 175636^2 + 103879^2 .

It is not a de Polignac number, because 41638851137 - 2⁸ = 41638850881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41638851091 and 41638851100.

It is not an unprimeable number, because it can be changed into a prime (41638851637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21363239 + ... + 21365187.

It is an arithmetic number, because the mean of its divisors is an integer number (1475735625).

Almost surely, 2^41638851137 is an apocalyptic number.

It is an amenable number.

41638851137 is a deficient number, since it is larger than the sum of its proper divisors (5584688863).

41638851137 is a wasteful number, since it uses less digits than its factorization.

41638851137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981.

The product of its digits is 483840, while the sum is 47.

The spelling of 41638851137 in words is "forty-one billion, six hundred thirty-eight million, eight hundred fifty-one thousand, one hundred thirty-seven".