41031040128 has 192 divisors, whose sum is σ = 119215494720. Its totient is φ = 12429711360.

The previous prime is 41031040097. The next prime is 41031040129. The reversal of 41031040128 is 82104013014.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41031040098 and 41031040107.

It is not an unprimeable number, because it can be changed into a prime (41031040129) 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 23 ways as a sum of consecutive naturals, for example, 22408173 + ... + 22410003.

It is an arithmetic number, because the mean of its divisors is an integer number (620914035).

Almost surely, 2^41031040128 is an apocalyptic number.

41031040128 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 41031040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59607747360).

41031040128 is an abundant number, since it is smaller than the sum of its proper divisors (78184454592).

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

41031040128 is a wasteful number, since it uses less digits than its factorization.

41031040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 41031040128 in words is "forty-one billion, thirty-one million, forty thousand, one hundred twenty-eight".