40563716688 has 360 divisors, whose sum is σ = 131395590144. Its totient is φ = 11650383360.

The previous prime is 40563716681. The next prime is 40563716689. The reversal of 40563716688 is 88661736504.

40563716688 is a `hidden beast` number, since 4 + 0 + 563 + 7 + 16 + 68 + 8 = 666.

It is a super-2 number, since 2×40563716688² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40563716681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50895106 + ... + 50895902.

Almost surely, 2^40563716688 is an apocalyptic number.

40563716688 is a gapful number since it is divisible by the number (48) 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 40563716688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65697795072).

40563716688 is an abundant number, since it is smaller than the sum of its proper divisors (90831873456).

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

40563716688 is a wasteful number, since it uses less digits than its factorization.

40563716688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40563716688 in words is "forty billion, five hundred sixty-three million, seven hundred sixteen thousand, six hundred eighty-eight".