4001166960 has 160 divisors (see below), whose sum is σ = 14195043840. Its totient is φ = 913296384.

The previous prime is 4001166959. The next prime is 4001166977. The reversal of 4001166960 is 696611004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835151 + ... + 1837329.

It is an arithmetic number, because the mean of its divisors is an integer number (88719024).

Almost surely, 2^4001166960 is an apocalyptic number.

4001166960 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 4001166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097521920).

4001166960 is an abundant number, since it is smaller than the sum of its proper divisors (10193876880).

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

4001166960 is a wasteful number, since it uses less digits than its factorization.

4001166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4001166960 is about 63254.7781594403. The cubic root of 4001166960 is about 1587.5554064197. Note that the first 3 decimals are identical.

Adding to 4001166960 its reverse (696611004), we get a palindrome (4697777964).

The spelling of 4001166960 in words is "four billion, one million, one hundred sixty-six thousand, nine hundred sixty".