41866007040 has 960 divisors, whose sum is σ = 173412150912. Its totient is φ = 9201254400.

The previous prime is 41866007017. The next prime is 41866007101. The reversal of 41866007040 is 4070066814.

41866007040 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 600 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41866006986 and 41866007004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319587775 + ... + 319587905.

Almost surely, 2^41866007040 is an apocalyptic number.

41866007040 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 41866007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86706075456).

41866007040 is an abundant number, since it is smaller than the sum of its proper divisors (131546143872).

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

41866007040 is a wasteful number, since it uses less digits than its factorization.

41866007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41866007040 in words is "forty-one billion, eight hundred sixty-six million, seven thousand, forty".