40829166 has 48 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 11610000.

The previous prime is 40829101. The next prime is 40829177. The reversal of 40829166 is 66192804.

40829166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40829166 is a nontrivial binomial coefficient, being equal to C(9037, 2).

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 self number, because there is not a number n which added to its sum of digits gives 40829166.

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 23 ways as a sum of consecutive naturals, for example, 30981 + ... + 32271.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^40829166 is an apocalyptic number.

40829166 is the 9036-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40829166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104).

40829166 is an abundant number, since it is smaller than the sum of its proper divisors (60753042).

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

40829166 is a wasteful number, since it uses less digits than its factorization.

40829166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40829166 is about 6389.7704184110. The cubic root of 40829166 is about 344.3421363936.

The spelling of 40829166 in words is "forty million, eight hundred twenty-nine thousand, one hundred sixty-six".