41638143680 has 112 divisors (see below), whose sum is σ = 116079276096. Its totient is φ = 13927710720.

The previous prime is 41638143647. The next prime is 41638143683. The reversal of 41638143680 is 8634183614.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (41638143683) 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 15 ways as a sum of consecutive naturals, for example, 134849 + ... + 318528.

It is an arithmetic number, because the mean of its divisors is an integer number (1036422108).

Almost surely, 2^41638143680 is an apocalyptic number.

41638143680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41638143680 is an abundant number, since it is smaller than the sum of its proper divisors (74441132416).

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

41638143680 is a wasteful number, since it uses less digits than its factorization.

41638143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453442 (or 453432 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 41638143680 in words is "forty-one billion, six hundred thirty-eight million, one hundred forty-three thousand, six hundred eighty".