40727680 has 64 divisors (see below), whose sum is σ = 111286080. Its totient is φ = 13962240.

The previous prime is 40727663. The next prime is 40727693. The reversal of 40727680 is 8672704.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (1738845).

Almost surely, 2^40727680 is an apocalyptic number.

40727680 is a gapful number since it is divisible by the number (40) 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 40727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55643040).

40727680 is an abundant number, since it is smaller than the sum of its proper divisors (70558400).

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

40727680 is an equidigital number, since it uses as much as digits as its factorization.

40727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 40727680 is about 6381.8241906214. The cubic root of 40727680 is about 344.0565978626.

The spelling of 40727680 in words is "forty million, seven hundred twenty-seven thousand, six hundred eighty".