41166468 has 90 divisors (see below), whose sum is σ = 125235726. Its totient is φ = 11757312.

The previous prime is 41166451. The next prime is 41166473. The reversal of 41166468 is 86466114.

41166468 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 646 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 4588164 = 6048^2 + 2142^2 .

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

41166468 is a modest number, since divided by 6468 gives 4116 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14580 + ... + 17172.

Almost surely, 2^41166468 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 41166468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62617863).

41166468 is an abundant number, since it is smaller than the sum of its proper divisors (84069258).

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

41166468 is a wasteful number, since it uses less digits than its factorization.

41166468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2605 counting only the distinct ones).

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

The square root of 41166468 is about 6416.1100364629. The cubic root of 41166468 is about 345.2877750142.

The spelling of 41166468 in words is "forty-one million, one hundred sixty-six thousand, four hundred sixty-eight".