40091091683940 has 576 divisors, whose sum is σ = 146804619386880. Its totient is φ = 8736000430080.

The previous prime is 40091091683939. The next prime is 40091091683941. The reversal of 40091091683940 is 4938619019004.

It is a happy number.

40091091683940 is a `hidden beast` number, since 4 + 0 + 0 + 91 + 0 + 9 + 168 + 394 + 0 = 666.

40091091683940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40091091683939) and next prime (40091091683941).

It is not an unprimeable number, because it can be changed into a prime (40091091683941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500854441 + ... + 500934479.

It is an arithmetic number, because the mean of its divisors is an integer number (254869130880).

Almost surely, 2^{40091091683940} 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 40091091683940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73402309693440).

40091091683940 is an abundant number, since it is smaller than the sum of its proper divisors (106713527702940).

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

40091091683940 is a wasteful number, since it uses less digits than its factorization.

40091091683940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80752 (or 80747 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 40091091683940 in words is "forty trillion, ninety-one billion, ninety-one million, six hundred eighty-three thousand, nine hundred forty".