40140734217192 has 256 divisors, whose sum is σ = 127919213568000. Its totient is φ = 11424851732736.

The previous prime is 40140734217191. The next prime is 40140734217217. The reversal of 40140734217192 is 29171243704104.

40140734217192 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 73 + 421 + 71 + 92 = 666.

40140734217192 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 2×40140734217192² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40140734217191) 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 63 ways as a sum of consecutive naturals, for example, 2742033409 + ... + 2742048047.

It is an arithmetic number, because the mean of its divisors is an integer number (499684428000).

Almost surely, 2^{40140734217192} is an apocalyptic number.

40140734217192 is a gapful number since it is divisible by the number (42) 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 40140734217192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63959606784000).

40140734217192 is an abundant number, since it is smaller than the sum of its proper divisors (87778479350808).

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

40140734217192 is a wasteful number, since it uses less digits than its factorization.

40140734217192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21475 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40140734217192 in words is "forty trillion, one hundred forty billion, seven hundred thirty-four million, two hundred seventeen thousand, one hundred ninety-two".