41766240 has 48 divisors (see below), whose sum is σ = 131565168. Its totient is φ = 11137536.

The previous prime is 41766217. The next prime is 41766253. The reversal of 41766240 is 4266714.

41766240 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41766198 and 41766207.

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, 43027 + ... + 43986.

It is an arithmetic number, because the mean of its divisors is an integer number (2740941).

Almost surely, 2^41766240 is an apocalyptic number.

41766240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41766240 is an abundant number, since it is smaller than the sum of its proper divisors (89798928).

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

41766240 is a wasteful number, since it uses less digits than its factorization.

41766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87031 (or 87023 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 41766240 is about 6462.6805584061. The cubic root of 41766240 is about 346.9565786538.

The spelling of 41766240 in words is "forty-one million, seven hundred sixty-six thousand, two hundred forty".