40383276768 has 72 divisors (see below), whose sum is σ = 115435127808. Its totient is φ = 13391327232.

The previous prime is 40383276763. The next prime is 40383276793. The reversal of 40383276768 is 86767238304.

40383276768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40383276763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307680 + ... + 418847.

It is an arithmetic number, because the mean of its divisors is an integer number (1603265664).

Almost surely, 2^40383276768 is an apocalyptic number.

40383276768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40383276768 is an abundant number, since it is smaller than the sum of its proper divisors (75051851040).

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

40383276768 is a wasteful number, since it uses less digits than its factorization.

40383276768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726736 (or 726725 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 40383276768 in words is "forty billion, three hundred eighty-three million, two hundred seventy-six thousand, seven hundred sixty-eight".