41907828040 has 256 divisors, whose sum is σ = 112173465600. Its totient is φ = 13942139904.

The previous prime is 41907828019. The next prime is 41907828047. The reversal of 41907828040 is 4082870914.

It is not an unprimeable number, because it can be changed into a prime (41907828047) 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 63 ways as a sum of consecutive naturals, for example, 50674107 + ... + 50674933.

It is an arithmetic number, because the mean of its divisors is an integer number (438177600).

Almost surely, 2^41907828040 is an apocalyptic number.

41907828040 is a gapful number since it is divisible by the number (40) 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 41907828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56086732800).

41907828040 is an abundant number, since it is smaller than the sum of its proper divisors (70265637560).

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

41907828040 is a wasteful number, since it uses less digits than its factorization.

41907828040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 41907828040 in words is "forty-one billion, nine hundred seven million, eight hundred twenty-eight thousand, forty".