40712818929768 has 256 divisors, whose sum is σ = 120663715200000. Its totient is φ = 12682857118464.

The previous prime is 40712818929719. The next prime is 40712818929793. The reversal of 40712818929768 is 86792981821704.

40712818929768 is a `hidden beast` number, since 407 + 1 + 2 + 81 + 89 + 2 + 9 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40712818929696 and 40712818929705.

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 63 ways as a sum of consecutive naturals, for example, 89334303 + ... + 89788881.

It is an arithmetic number, because the mean of its divisors is an integer number (471342637500).

Almost surely, 2^{40712818929768} 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 40712818929768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60331857600000).

40712818929768 is an abundant number, since it is smaller than the sum of its proper divisors (79950896270232).

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

40712818929768 is a wasteful number, since it uses less digits than its factorization.

40712818929768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454909 (or 454899 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 40712818929768 in words is "forty trillion, seven hundred twelve billion, eight hundred eighteen million, nine hundred twenty-nine thousand, seven hundred sixty-eight".