4001504166 has 160 divisors (see below), whose sum is σ = 10809013248. Its totient is φ = 1091439360.

The previous prime is 4001504161. The next prime is 4001504197. The reversal of 4001504166 is 6614051004.

4001504166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001504161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 693891 + ... + 699633.

Almost surely, 2^4001504166 is an apocalyptic number.

4001504166 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001504166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404506624).

4001504166 is an abundant number, since it is smaller than the sum of its proper divisors (6807509082).

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

4001504166 is a wasteful number, since it uses less digits than its factorization.

4001504166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4001504166 is about 63257.4435620030. The cubic root of 4001504166 is about 1587.6000032565.

The spelling of 4001504166 in words is "four billion, one million, five hundred four thousand, one hundred sixty-six".