40585084680 has 256 divisors, whose sum is σ = 146698076160. Its totient is φ = 8786073600.

The previous prime is 40585084679. The next prime is 40585084739. The reversal of 40585084680 is 8648058504.

It is a happy number.

40585084680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207300 + ... + 1240460.

It is an arithmetic number, because the mean of its divisors is an integer number (573039360).

Almost surely, 2^40585084680 is an apocalyptic number.

40585084680 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 40585084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73349038080).

40585084680 is an abundant number, since it is smaller than the sum of its proper divisors (106112991480).

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

40585084680 is a wasteful number, since it uses less digits than its factorization.

40585084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33260 (or 33256 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 40585084680 in words is "forty billion, five hundred eighty-five million, eighty-four thousand, six hundred eighty".