40768845280 has 96 divisors (see below), whose sum is σ = 100765607040. Its totient is φ = 15571169280.

The previous prime is 40768845277. The next prime is 40768845287. The reversal of 40768845280 is 8254886704.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40768845287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 242206 + ... + 374434.

It is an arithmetic number, because the mean of its divisors is an integer number (1049641740).

Almost surely, 2^40768845280 is an apocalyptic number.

40768845280 is a gapful number since it is divisible by the number (40) 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 40768845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50382803520).

40768845280 is an abundant number, since it is smaller than the sum of its proper divisors (59996761760).

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

40768845280 is a wasteful number, since it uses less digits than its factorization.

40768845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132332 (or 132324 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 40768845280 in words is "forty billion, seven hundred sixty-eight million, eight hundred forty-five thousand, two hundred eighty".