40791188368 has 60 divisors (see below), whose sum is σ = 92467993500. Its totient is φ = 17380828416.

The previous prime is 40791188359. The next prime is 40791188377. The reversal of 40791188368 is 86388119704.

It is an interprime number because it is at equal distance from previous prime (40791188359) and next prime (40791188377).

It can be written as a sum of positive squares in 2 ways, for example, as 17495881984 + 23295306384 = 132272^2 + 152628^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14743 + ... + 286006.

It is an arithmetic number, because the mean of its divisors is an integer number (1541133225).

Almost surely, 2^40791188368 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 40791188368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46233996750).

40791188368 is an abundant number, since it is smaller than the sum of its proper divisors (51676805132).

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

40791188368 is a wasteful number, since it uses less digits than its factorization.

40791188368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300944 (or 300931 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 40791188368 in words is "forty billion, seven hundred ninety-one million, one hundred eighty-eight thousand, three hundred sixty-eight".