40095744 has 104 divisors (see below), whose sum is σ = 115591392. Its totient is φ = 12288000.

The previous prime is 40095743. The next prime is 40095763. The reversal of 40095744 is 44759004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40095743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159619 + ... + 159869.

Almost surely, 2^40095744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40095744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57795696).

40095744 is an abundant number, since it is smaller than the sum of its proper divisors (75495648).

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

40095744 is a wasteful number, since it uses less digits than its factorization.

40095744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 40095744 is about 6332.1200241309. The cubic root of 40095744 is about 342.2678384750.

The spelling of 40095744 in words is "forty million, ninety-five thousand, seven hundred forty-four".