40681045768 has 32 divisors (see below), whose sum is σ = 87590772000. Its totient is φ = 17518152960.

The previous prime is 40681045763. The next prime is 40681045771. The reversal of 40681045768 is 86754018604.

It is a super-3 number, since 3×40681045768³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40681045763) 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 7 ways as a sum of consecutive naturals, for example, 12163713 + ... + 12167056.

It is an arithmetic number, because the mean of its divisors is an integer number (2737211625).

Almost surely, 2^40681045768 is an apocalyptic number.

It is an amenable number.

40681045768 is an abundant number, since it is smaller than the sum of its proper divisors (46909726232).

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

40681045768 is a wasteful number, since it uses less digits than its factorization.

40681045768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330805 (or 24330801 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 40681045768 in words is "forty billion, six hundred eighty-one million, forty-five thousand, seven hundred sixty-eight".