41166766080 has 816 divisors, whose sum is σ = 164885220864. Its totient is φ = 9767485440.

The previous prime is 41166766073. The next prime is 41166766087. The reversal of 41166766080 is 8066766114.

It is an interprime number because it is at equal distance from previous prime (41166766073) and next prime (41166766087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41166766087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875888617 + ... + 875888663.

Almost surely, 2^41166766080 is an apocalyptic number.

41166766080 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 41166766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82442610432).

41166766080 is an abundant number, since it is smaller than the sum of its proper divisors (123718454784).

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

41166766080 is an frugal number, since it uses more digits than its factorization.

41166766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 4116676 and 6080, that added together give a triangular number (4122756 = T₂₈₇₁).

The spelling of 41166766080 in words is "forty-one billion, one hundred sixty-six million, seven hundred sixty-six thousand, eighty".