40560171763776 has 896 divisors, whose sum is σ = 138013440000000. Its totient is φ = 10465199087616.

The previous prime is 40560171763759. The next prime is 40560171763777. The reversal of 40560171763776 is 67736717106504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40560171763777) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2866638750 + ... + 2866652898.

Almost surely, 2^{40560171763776} 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 40560171763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69006720000000).

40560171763776 is an abundant number, since it is smaller than the sum of its proper divisors (97453268236224).

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

40560171763776 is a wasteful number, since it uses less digits than its factorization.

40560171763776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14312 (or 14288 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 60.

The spelling of 40560171763776 in words is "forty trillion, five hundred sixty billion, one hundred seventy-one million, seven hundred sixty-three thousand, seven hundred seventy-six".