401166144 has 84 divisors (see below), whose sum is σ = 1153712196. Its totient is φ = 133275648.

The previous prime is 401166137. The next prime is 401166163. The reversal of 401166144 is 441661104.

401166144 is a `hidden beast` number, since 40 + 1 + 1 + 6 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 278222400 = 11088^2 + 16680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202342 + ... + 204314.

It is an arithmetic number, because the mean of its divisors is an integer number (13734669).

Almost surely, 2^401166144 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 401166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576856098).

401166144 is an abundant number, since it is smaller than the sum of its proper divisors (752546052).

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

401166144 is a wasteful number, since it uses less digits than its factorization.

401166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401166144 is about 20029.1323826071. The cubic root of 401166144 is about 737.5216235736.

The spelling of 401166144 in words is "four hundred one million, one hundred sixty-six thousand, one hundred forty-four".