40131173663340 has 192 divisors, whose sum is σ = 118831475589120. Its totient is φ = 10102954752000.

The previous prime is 40131173663323. The next prime is 40131173663363. The reversal of 40131173663340 is 4336637113104.

It is a happy number.

40131173663340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40131173663340² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40131173663292 and 40131173663301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1698374646 + ... + 1698398274.

It is an arithmetic number, because the mean of its divisors is an integer number (618913935360).

Almost surely, 2^{40131173663340} 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 40131173663340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415737794560).

40131173663340 is an abundant number, since it is smaller than the sum of its proper divisors (78700301925780).

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

40131173663340 is a wasteful number, since it uses less digits than its factorization.

40131173663340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45984 (or 45982 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 40131173663340 in words is "forty trillion, one hundred thirty-one billion, one hundred seventy-three million, six hundred sixty-three thousand, three hundred forty".