40140784141068 has 96 divisors (see below), whose sum is σ = 103029627939840. Its totient is φ = 12086234657280.

The previous prime is 40140784141067. The next prime is 40140784141069. The reversal of 40140784141068 is 86014148704104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40140784141067) and next prime (40140784141069).

It is a super-2 number, since 2×40140784141068² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40140784141067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44431963 + ... + 45326381.

It is an arithmetic number, because the mean of its divisors is an integer number (1073225291040).

Almost surely, 2^{40140784141068} 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 40140784141068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51514813969920).

40140784141068 is an abundant number, since it is smaller than the sum of its proper divisors (62888843798772).

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

40140784141068 is a wasteful number, since it uses less digits than its factorization.

40140784141068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900607 (or 900605 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 40140784141068 in words is "forty trillion, one hundred forty billion, seven hundred eighty-four million, one hundred forty-one thousand, sixty-eight".