4001036160 has 256 divisors, whose sum is σ = 13977100800. Its totient is φ = 965468160.

The previous prime is 4001036159. The next prime is 4001036167. The reversal of 4001036160 is 616301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001036167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8215437 + ... + 8215923.

It is an arithmetic number, because the mean of its divisors is an integer number (54598050).

Almost surely, 2^4001036160 is an apocalyptic number.

4001036160 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 4001036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988550400).

4001036160 is an abundant number, since it is smaller than the sum of its proper divisors (9976064640).

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

4001036160 is a wasteful number, since it uses less digits than its factorization.

4001036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4001036160 is about 63253.7442370015. The cubic root of 4001036160 is about 1587.5381069241.

Adding to 4001036160 its reverse (616301004), we get a palindrome (4617337164).

The spelling of 4001036160 in words is "four billion, one million, thirty-six thousand, one hundred sixty".