40466160 has 360 divisors, whose sum is σ = 167596416. Its totient is φ = 8709120.

The previous prime is 40466147. The next prime is 40466161. The reversal of 40466160 is 6166404.

40466160 is a `hidden beast` number, since 4 + 0 + 46 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40466161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093662 + ... + 1093698.

Almost surely, 2^40466160 is an apocalyptic number.

40466160 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 40466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).

40466160 is an abundant number, since it is smaller than the sum of its proper divisors (127130256).

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

40466160 is a wasteful number, since it uses less digits than its factorization.

40466160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40466160 is about 6361.3017535721. The cubic root of 40466160 is about 343.3185988796.

It can be divided in two parts, 404 and 66160, that added together give a square (66564 = 258²).

The spelling of 40466160 in words is "forty million, four hundred sixty-six thousand, one hundred sixty".