41007189888 has 192 divisors, whose sum is σ = 141958377600. Its totient is φ = 11099649024.

The previous prime is 41007189857. The next prime is 41007189889. The reversal of 41007189888 is 88898170014.

It is a happy number.

41007189888 is a `hidden beast` number, since 410 + 0 + 71 + 89 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41007189889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19395 + ... + 287037.

It is an arithmetic number, because the mean of its divisors is an integer number (739366550).

Almost surely, 2^41007189888 is an apocalyptic number.

41007189888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41007189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70979188800).

41007189888 is an abundant number, since it is smaller than the sum of its proper divisors (100951187712).

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

41007189888 is a wasteful number, since it uses less digits than its factorization.

41007189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267689 (or 267674 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 41007189888 in words is "forty-one billion, seven million, one hundred eighty-nine thousand, eight hundred eighty-eight".