40689607680 has 264 divisors, whose sum is σ = 145854891000. Its totient is φ = 10476060672.

The previous prime is 40689607663. The next prime is 40689607733. The reversal of 40689607680 is 8670698604.

40689607680 is a `hidden beast` number, since 406 + 8 + 96 + 0 + 76 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548683776 + 40140923904 = 23424^2 + 200352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321096 + ... + 1351544.

Almost surely, 2^40689607680 is an apocalyptic number.

40689607680 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 40689607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72927445500).

40689607680 is an abundant number, since it is smaller than the sum of its proper divisors (105165283320).

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

40689607680 is a wasteful number, since it uses less digits than its factorization.

40689607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30509 (or 30488 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40689607680 in words is "forty billion, six hundred eighty-nine million, six hundred seven thousand, six hundred eighty".