40073918770728 has 192 divisors, whose sum is σ = 114833511000000. Its totient is φ = 12589990963200.

The previous prime is 40073918770703. The next prime is 40073918770729. The reversal of 40073918770728 is 82707781937004.

40073918770728 is a `hidden beast` number, since 400 + 7 + 3 + 91 + 8 + 7 + 70 + 72 + 8 = 666.

40073918770728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40073918770729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207810898 + ... + 208003646.

It is an arithmetic number, because the mean of its divisors is an integer number (598091203125).

Almost surely, 2^{40073918770728} 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 40073918770728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57416755500000).

40073918770728 is an abundant number, since it is smaller than the sum of its proper divisors (74759592229272).

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

40073918770728 is a wasteful number, since it uses less digits than its factorization.

40073918770728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193560 (or 193553 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 40073918770728 in words is "forty trillion, seventy-three billion, nine hundred eighteen million, seven hundred seventy thousand, seven hundred twenty-eight".