40195680 has 144 divisors (see below), whose sum is σ = 147374640. Its totient is φ = 9182208.

The previous prime is 40195679. The next prime is 40195681. The reversal of 40195680 is 8659104.

It is an interprime number because it is at equal distance from previous prime (40195679) and next prime (40195681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40195681) 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 23 ways as a sum of consecutive naturals, for example, 22666 + ... + 24374.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 2^40195680 is an apocalyptic number.

40195680 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 40195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73687320).

40195680 is an abundant number, since it is smaller than the sum of its proper divisors (107178960).

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

40195680 is a wasteful number, since it uses less digits than its factorization.

40195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 40195680 is about 6340.0063091451. The cubic root of 40195680 is about 342.5519625638.

The spelling of 40195680 in words is "forty million, one hundred ninety-five thousand, six hundred eighty".