41768240 has 40 divisors (see below), whose sum is σ = 98953488. Its totient is φ = 16390400.

The previous prime is 41768239. The next prime is 41768273. The reversal of 41768240 is 4286714.

41768240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 41768197 and 41768206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 686 + ... + 9165.

Almost surely, 2^41768240 is an apocalyptic number.

41768240 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 41768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476744).

41768240 is an abundant number, since it is smaller than the sum of its proper divisors (57185248).

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

41768240 is a wasteful number, since it uses less digits than its factorization.

41768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 41768240 is about 6462.8352911087. The cubic root of 41768240 is about 346.9621166360.

The spelling of 41768240 in words is "forty-one million, seven hundred sixty-eight thousand, two hundred forty".