40966904 has 32 divisors (see below), whose sum is σ = 84378240. Its totient is φ = 18492000.

The previous prime is 40966901. The next prime is 40966909.

40966904 is nontrivially palindromic in base 10.

40966904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40966901) by changing a digit.

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, 11747 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (2636820).

Almost surely, 2^40966904 is an apocalyptic number.

40966904 is a gapful number since it is divisible by the number (44) 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 40966904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42189120).

40966904 is an abundant number, since it is smaller than the sum of its proper divisors (43411336).

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

40966904 is a wasteful number, since it uses less digits than its factorization.

40966904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 40966904 is about 6400.5393522734. The cubic root of 40966904 is about 344.7289167872.

The spelling of 40966904 in words is "forty million, nine hundred sixty-six thousand, nine hundred four".