40205642558116 has 96 divisors (see below), whose sum is σ = 83019292570368. Its totient is φ = 16679354388480.

The previous prime is 40205642558101. The next prime is 40205642558117. The reversal of 40205642558116 is 61185524650204.

It is a super-3 number, since 3×40205642558116³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40205642558116.

It is not an unprimeable number, because it can be changed into a prime (40205642558117) 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 31 ways as a sum of consecutive naturals, for example, 1942948266 + ... + 1942968958.

It is an arithmetic number, because the mean of its divisors is an integer number (864784297608).

Almost surely, 2^{40205642558116} 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 40205642558116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41509646285184).

40205642558116 is an abundant number, since it is smaller than the sum of its proper divisors (42813650012252).

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

40205642558116 is a wasteful number, since it uses less digits than its factorization.

40205642558116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35141 (or 35139 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

The spelling of 40205642558116 in words is "forty trillion, two hundred five billion, six hundred forty-two million, five hundred fifty-eight thousand, one hundred sixteen".