40566910241760 has 768 divisors, whose sum is σ = 155708312739840. Its totient is φ = 8671387115520.

The previous prime is 40566910241729. The next prime is 40566910241761. The reversal of 40566910241760 is 6714201966504.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40566910241761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8589222759 + ... + 8589227481.

It is an arithmetic number, because the mean of its divisors is an integer number (202745198880).

Almost surely, 2^{40566910241760} is an apocalyptic number.

40566910241760 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 40566910241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77854156369920).

40566910241760 is an abundant number, since it is smaller than the sum of its proper divisors (115141402498080).

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

40566910241760 is a wasteful number, since it uses less digits than its factorization.

40566910241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 40566910241760 in words is "forty trillion, five hundred sixty-six billion, nine hundred ten million, two hundred forty-one thousand, seven hundred sixty".