40641680 has 20 divisors (see below), whose sum is σ = 94492092. Its totient is φ = 16256640.

The previous prime is 40641661. The next prime is 40641709. The reversal of 40641680 is 8614604.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 10523536 = 5488^2 + 3244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253931 + ... + 254090.

Almost surely, 2^40641680 is an apocalyptic number.

40641680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40641680 is an abundant number, since it is smaller than the sum of its proper divisors (53850412).

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

40641680 is a wasteful number, since it uses less digits than its factorization.

40641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508034 (or 508028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 40641680 is about 6375.0827445610. The cubic root of 40641680 is about 343.8142588410.

The spelling of 40641680 in words is "forty million, six hundred forty-one thousand, six hundred eighty".