40068118800 has 240 divisors, whose sum is σ = 143949804480. Its totient is φ = 10584668160.

The previous prime is 40068118793. The next prime is 40068118817. The reversal of 40068118800 is 881186004.

40068118800 is a `hidden beast` number, since 400 + 68 + 118 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1138264 + ... + 1172936.

It is an arithmetic number, because the mean of its divisors is an integer number (599790852).

Almost surely, 2^40068118800 is an apocalyptic number.

40068118800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40068118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71974902240).

40068118800 is an abundant number, since it is smaller than the sum of its proper divisors (103881685680).

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

40068118800 is a wasteful number, since it uses less digits than its factorization.

40068118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34807 (or 34790 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 40068118800 in words is "forty billion, sixty-eight million, one hundred eighteen thousand, eight hundred".