40718355648768 has 216 divisors, whose sum is σ = 142065146216448. Its totient is φ = 10949473714176.

The previous prime is 40718355648757. The next prime is 40718355648791. The reversal of 40718355648768 is 86784655381704.

40718355648768 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 8 + 3 + 556 + 4 + 8 + 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 = 40718355648696 and 40718355648705.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73981696 + ... + 74530047.

Almost surely, 2^{40718355648768} is an apocalyptic number.

40718355648768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40718355648768 is an abundant number, since it is smaller than the sum of its proper divisors (101346790567680).

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

40718355648768 is a wasteful number, since it uses less digits than its factorization.

40718355648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148511789 (or 148511772 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 40718355648768 in words is "forty trillion, seven hundred eighteen billion, three hundred fifty-five million, six hundred forty-eight thousand, seven hundred sixty-eight".