4113135540 has 144 divisors (see below), whose sum is σ = 13468291200. Its totient is φ = 1012940544.

The previous prime is 4113135497. The next prime is 4113135619. The reversal of 4113135540 is 455313114.

It is a happy number.

4113135540 is a `hidden beast` number, since 4 + 113 + 1 + 3 + 5 + 540 = 666.

It is a super-2 number, since 2×4113135540² = 33835767940822183200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102931 + ... + 137189.

It is an arithmetic number, because the mean of its divisors is an integer number (93529800).

Almost surely, 2^4113135540 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 4113135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734145600).

4113135540 is an abundant number, since it is smaller than the sum of its proper divisors (9355155660).

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

4113135540 is a wasteful number, since it uses less digits than its factorization.

4113135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34326 (or 34321 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4113135540 is about 64133.7316862195. The cubic root of 4113135540 is about 1602.2280859346.

Adding to 4113135540 its reverse (455313114), we get a palindrome (4568448654).

The spelling of 4113135540 in words is "four billion, one hundred thirteen million, one hundred thirty-five thousand, five hundred forty".