8461166040 has 320 divisors, whose sum is σ = 29859160320. Its totient is φ = 2146176000.

The previous prime is 8461166039. The next prime is 8461166041. The reversal of 8461166040 is 406611648.

8461166040 is a `hidden beast` number, since 8 + 46 + 1 + 1 + 6 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8461166039) and next prime (8461166041).

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 = 8461165986 and 8461166004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461166041) 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 79 ways as a sum of consecutive naturals, for example, 6126150 + ... + 6127530.

It is an arithmetic number, because the mean of its divisors is an integer number (93309876).

Almost surely, 2^8461166040 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 8461166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929580160).

8461166040 is an abundant number, since it is smaller than the sum of its proper divisors (21397994280).

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

8461166040 is a wasteful number, since it uses less digits than its factorization.

8461166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8461166040 is about 91984.5967540218. The cubic root of 8461166040 is about 2037.7148286913.

Adding to 8461166040 its reverse (406611648), we get a palindrome (8867777688).

The spelling of 8461166040 in words is "eight billion, four hundred sixty-one million, one hundred sixty-six thousand, forty".