4001540520 has 128 divisors (see below), whose sum is σ = 12289190400. Its totient is φ = 1041893376.

The previous prime is 4001540497. The next prime is 4001540527. The reversal of 4001540520 is 250451004.

It is not an unprimeable number, because it can be changed into a prime (4001540527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4562322 + ... + 4563198.

It is an arithmetic number, because the mean of its divisors is an integer number (96009300).

Almost surely, 2^4001540520 is an apocalyptic number.

4001540520 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 4001540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144595200).

4001540520 is an abundant number, since it is smaller than the sum of its proper divisors (8287649880).

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

4001540520 is a wasteful number, since it uses less digits than its factorization.

4001540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4001540520 is about 63257.7309109329. The cubic root of 4001540520 is about 1587.6048110682.

Adding to 4001540520 its reverse (250451004), we get a palindrome (4251991524).

The spelling of 4001540520 in words is "four billion, one million, five hundred forty thousand, five hundred twenty".