4013127540 has 72 divisors (see below), whose sum is σ = 12196803528. Its totient is φ = 1068088320.

The previous prime is 4013127529. The next prime is 4013127563. The reversal of 4013127540 is 457213104.

It can be written as a sum of positive squares in 4 ways, for example, as 196112016 + 3817015524 = 14004^2 + 61782^2 .

It is a super-2 number, since 2×4013127540² = 32210385304612903200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72384 + ... + 115176.

It is an arithmetic number, because the mean of its divisors is an integer number (169400049).

Almost surely, 2^4013127540 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 4013127540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098401764).

4013127540 is an abundant number, since it is smaller than the sum of its proper divisors (8183675988).

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

4013127540 is a wasteful number, since it uses less digits than its factorization.

4013127540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43329 (or 43324 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4013127540 is about 63349.2505085893. The cubic root of 4013127540 is about 1589.1357115992.

The spelling of 4013127540 in words is "four billion, thirteen million, one hundred twenty-seven thousand, five hundred forty".