4135160484 has 240 divisors, whose sum is σ = 13413769600. Its totient is φ = 1081672704.

The previous prime is 4135160479. The next prime is 4135160539. The reversal of 4135160484 is 4840615314.

4135160484 is a `hidden beast` number, since 4 + 13 + 5 + 160 + 484 = 666.

It is a super-2 number, since 2×4135160484² = 34199104456870228512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4097772 + ... + 4098780.

Almost surely, 2^4135160484 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 4135160484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706884800).

4135160484 is an abundant number, since it is smaller than the sum of its proper divisors (9278609116).

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

4135160484 is a wasteful number, since it uses less digits than its factorization.

4135160484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4135160484 is about 64305.2135055938. The cubic root of 4135160484 is about 1605.0828571078.

Adding to 4135160484 its reverse (4840615314), we get a palindrome (8975775798).

The spelling of 4135160484 in words is "four billion, one hundred thirty-five million, one hundred sixty thousand, four hundred eighty-four".