40606645748880 has 320 divisors, whose sum is σ = 132824748672000. Its totient is φ = 10233864861696.

The previous prime is 40606645748839. The next prime is 40606645748887. The reversal of 40606645748880 is 8884754660604.

It is not an unprimeable number, because it can be changed into a prime (40606645748887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3783339994 + ... + 3783350726.

It is an arithmetic number, because the mean of its divisors is an integer number (415077339600).

Almost surely, 2^{40606645748880} is an apocalyptic number.

40606645748880 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 40606645748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66412374336000).

40606645748880 is an abundant number, since it is smaller than the sum of its proper divisors (92218102923120).

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

40606645748880 is a wasteful number, since it uses less digits than its factorization.

40606645748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 66.

The spelling of 40606645748880 in words is "forty trillion, six hundred six billion, six hundred forty-five million, seven hundred forty-eight thousand, eight hundred eighty".