40218603768 has 288 divisors, whose sum is σ = 129158789760. Its totient is φ = 11270689920.

The previous prime is 40218603749. The next prime is 40218603773. The reversal of 40218603768 is 86730681204.

40218603768 is a `hidden beast` number, since 4 + 0 + 218 + 60 + 376 + 8 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 76899555 + ... + 76900077.

It is an arithmetic number, because the mean of its divisors is an integer number (448468020).

Almost surely, 2^40218603768 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 40218603768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579394880).

40218603768 is an abundant number, since it is smaller than the sum of its proper divisors (88940185992).

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

40218603768 is a wasteful number, since it uses less digits than its factorization.

40218603768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40218603768 in words is "forty billion, two hundred eighteen million, six hundred three thousand, seven hundred sixty-eight".