4113142144 has 64 divisors (see below), whose sum is σ = 8314020000. Its totient is φ = 2026708992.

The previous prime is 4113142139. The next prime is 4113142153. The reversal of 4113142144 is 4412413114.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2877622 + ... + 2879050.

Almost surely, 2^4113142144 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 4113142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157010000).

4113142144 is an abundant number, since it is smaller than the sum of its proper divisors (4200877856).

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

4113142144 is a wasteful number, since it uses less digits than its factorization.

4113142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1743 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 4113142144 is about 64133.7831723656. The cubic root of 4113142144 is about 1602.2289434401.

Adding to 4113142144 its reverse (4412413114), we get a palindrome (8525555258).

The spelling of 4113142144 in words is "four billion, one hundred thirteen million, one hundred forty-two thousand, one hundred forty-four".