40517656704 has 1024 divisors, whose sum is σ = 154165248000. Its totient is φ = 10346434560.

The previous prime is 40517656661. The next prime is 40517656757. The reversal of 40517656704 is 40765671504.

40517656704 is a `hidden beast` number, since 4 + 0 + 517 + 65 + 6 + 70 + 4 = 666.

It is a super-2 number, since 2×40517656704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40517656704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1307021169 + ... + 1307021199.

It is an arithmetic number, because the mean of its divisors is an integer number (150552000).

Almost surely, 2^40517656704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40517656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77082624000).

40517656704 is an abundant number, since it is smaller than the sum of its proper divisors (113647591296).

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

40517656704 is an equidigital number, since it uses as much as digits as its factorization.

40517656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 40517656704 in words is "forty billion, five hundred seventeen million, six hundred fifty-six thousand, seven hundred four".