4001540368 has 80 divisors (see below), whose sum is σ = 9273692160. Its totient is φ = 1635435648.

The previous prime is 4001540351. The next prime is 4001540371. The reversal of 4001540368 is 8630451004.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922621 + ... + 926947.

It is an arithmetic number, because the mean of its divisors is an integer number (115921152).

Almost surely, 2^4001540368 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 4001540368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636846080).

4001540368 is an abundant number, since it is smaller than the sum of its proper divisors (5272151792).

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

4001540368 is a wasteful number, since it uses less digits than its factorization.

4001540368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4001540368 is about 63257.7297094987. The cubic root of 4001540368 is about 1587.6047909663.

The spelling of 4001540368 in words is "four billion, one million, five hundred forty thousand, three hundred sixty-eight".