40605938569728 has 360 divisors, whose sum is σ = 136345267747260. Its totient is φ = 11599954329600.

The previous prime is 40605938569727. The next prime is 40605938569759. The reversal of 40605938569728 is 82796583950604.

It is a happy number.

40605938569728 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 5 + 9 + 38 + 569 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37137226017024 + 3468712552704 = 6094032^2 + 1862448^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (40605938569727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2688949378 + ... + 2688964478.

Almost surely, 2^{40605938569728} is an apocalyptic number.

40605938569728 is a gapful number since it is divisible by the number (48) 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 40605938569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172633873630).

40605938569728 is an abundant number, since it is smaller than the sum of its proper divisors (95739329177532).

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

40605938569728 is a wasteful number, since it uses less digits than its factorization.

40605938569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27048 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 40605938569728 in words is "forty trillion, six hundred five billion, nine hundred thirty-eight million, five hundred sixty-nine thousand, seven hundred twenty-eight".