4113702144 has 108 divisors (see below), whose sum is σ = 11891793732. Its totient is φ = 1367654400.

The previous prime is 4113702107. The next prime is 4113702161. The reversal of 4113702144 is 4412073114.

4113702144 is a `hidden beast` number, since 411 + 37 + 0 + 214 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1945868544 + 2167833600 = 44112^2 + 46560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 967864 + ... + 972104.

Almost surely, 2^4113702144 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 4113702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945896866).

4113702144 is an abundant number, since it is smaller than the sum of its proper divisors (7778091588).

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

4113702144 is a wasteful number, since it uses less digits than its factorization.

4113702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4113702144 is about 64138.1488975165. The cubic root of 4113702144 is about 1602.3016540718.

Adding to 4113702144 its reverse (4412073114), we get a palindrome (8525775258).

The spelling of 4113702144 in words is "four billion, one hundred thirteen million, seven hundred two thousand, one hundred forty-four".