4001511440 has 80 divisors (see below), whose sum is σ = 9547732656. Its totient is φ = 1558732800.

The previous prime is 4001511419. The next prime is 4001511443. The reversal of 4001511440 is 441151004.

It can be written as a sum of positive squares in 8 ways, for example, as 147088384 + 3854423056 = 12128^2 + 62084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4001511443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3387650 + ... + 3388830.

Almost surely, 2^4001511440 is an apocalyptic number.

4001511440 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 4001511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773866328).

4001511440 is an abundant number, since it is smaller than the sum of its proper divisors (5546221216).

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

4001511440 is a wasteful number, since it uses less digits than its factorization.

4001511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4001511440 is about 63257.5010571869. The cubic root of 4001511440 is about 1587.6009652444.

Adding to 4001511440 its reverse (441151004), we get a palindrome (4442662444).

The spelling of 4001511440 in words is "four billion, one million, five hundred eleven thousand, four hundred forty".