40966600 has 48 divisors (see below), whose sum is σ = 100858500. Its totient is φ = 15421440.

The previous prime is 40966579. The next prime is 40966609. The reversal of 40966600 is 666904.

It can be written as a sum of positive squares in 6 ways, for example, as 24661156 + 16305444 = 4966^2 + 4038^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40966609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2625 + ... + 9424.

Almost surely, 2^40966600 is an apocalyptic number.

40966600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40966600 is an abundant number, since it is smaller than the sum of its proper divisors (59891900).

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

40966600 is a wasteful number, since it uses less digits than its factorization.

40966600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 40966600 is about 6400.5156042306. The cubic root of 40966600 is about 344.7280640839.

The spelling of 40966600 in words is "forty million, nine hundred sixty-six thousand, six hundred".