40560354377856 has 192 divisors, whose sum is σ = 121076457465600. Its totient is φ = 13515988147200.

The previous prime is 40560354377759. The next prime is 40560354377897. The reversal of 40560354377856 is 65877345306504.

40560354377856 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 0 + 3 + 543 + 7 + 7 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 40560354377793 and 40560354377802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102476785 + ... + 102871823.

It is an arithmetic number, because the mean of its divisors is an integer number (630606549300).

Almost surely, 2^{40560354377856} 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 40560354377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60538228732800).

40560354377856 is an abundant number, since it is smaller than the sum of its proper divisors (80516103087744).

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

40560354377856 is an equidigital number, since it uses as much as digits as its factorization.

40560354377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398369 (or 398345 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 40560354377856 in words is "forty trillion, five hundred sixty billion, three hundred fifty-four million, three hundred seventy-seven thousand, eight hundred fifty-six".