40689335680 has 256 divisors, whose sum is σ = 114125760000. Its totient is φ = 13584678912.

The previous prime is 40689335641. The next prime is 40689335737. The reversal of 40689335680 is 8653398604.

40689335680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27143571 + ... + 27145069.

It is an arithmetic number, because the mean of its divisors is an integer number (445803750).

Almost surely, 2^40689335680 is an apocalyptic number.

40689335680 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 40689335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062880000).

40689335680 is an abundant number, since it is smaller than the sum of its proper divisors (73436424320).

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

40689335680 is a wasteful number, since it uses less digits than its factorization.

40689335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 40689335680 in words is "forty billion, six hundred eighty-nine million, three hundred thirty-five thousand, six hundred eighty".