40517766 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 11404800.

The previous prime is 40517759. The next prime is 40517767. The reversal of 40517766 is 66771504.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40517766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40517767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401116 + ... + 401216.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^40517766 is an apocalyptic number.

40517766 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40517766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

40517766 is an abundant number, since it is smaller than the sum of its proper divisors (65235834).

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

40517766 is a wasteful number, since it uses less digits than its factorization.

40517766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 40517766 is about 6365.3567064227. The cubic root of 40517766 is about 343.4644802234.

The spelling of 40517766 in words is "forty million, five hundred seventeen thousand, seven hundred sixty-six".