41638851136 has 63 divisors (see below), whose sum is σ = 86453728921. Its totient is φ = 19896276224.

The previous prime is 41638851119. The next prime is 41638851143. The reversal of 41638851136 is 63115883614.

It is a happy number.

The square root of 41638851136 is 204056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 673091136 + 40965760000 = 25944^2 + 202400^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 37545750 + ... + 37546858.

Almost surely, 2^41638851136 is an apocalyptic number.

41638851136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

41638851136 is the 204056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41638851136

41638851136 is an abundant number, since it is smaller than the sum of its proper divisors (44814877785).

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

41638851136 is an frugal number, since it uses more digits than its factorization.

41638851136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 1134 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The spelling of 41638851136 in words is "forty-one billion, six hundred thirty-eight million, eight hundred fifty-one thousand, one hundred thirty-six".