41146636128 has 48 divisors (see below), whose sum is σ = 116318378736. Its totient is φ = 12660503040.

The previous prime is 41146636127. The next prime is 41146636169. The reversal of 41146636128 is 82163664114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41146636128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41146636127) 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 7 ways as a sum of consecutive naturals, for example, 16483783 + ... + 16486278.

It is an arithmetic number, because the mean of its divisors is an integer number (2423299557).

Almost surely, 2^41146636128 is an apocalyptic number.

41146636128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41146636128 is an abundant number, since it is smaller than the sum of its proper divisors (75171742608).

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

41146636128 is a wasteful number, since it uses less digits than its factorization.

41146636128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32970087 (or 32970079 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 41146636128 in words is "forty-one billion, one hundred forty-six million, six hundred thirty-six thousand, one hundred twenty-eight".