4135542144 has 128 divisors (see below), whose sum is σ = 11148192000. Its totient is φ = 1358223360.

The previous prime is 4135542139. The next prime is 4135542149. The reversal of 4135542144 is 4412455314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4135542139) and next prime (4135542149).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135542149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11519437 + ... + 11519795.

It is an arithmetic number, because the mean of its divisors is an integer number (87095250).

Almost surely, 2^4135542144 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 4135542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574096000).

4135542144 is an abundant number, since it is smaller than the sum of its proper divisors (7012649856).

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

4135542144 is a wasteful number, since it uses less digits than its factorization.

4135542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 4135542144 is about 64308.1810036639. The cubic root of 4135542144 is about 1605.1322366566.

Adding to 4135542144 its reverse (4412455314), we get a palindrome (8547997458).

The spelling of 4135542144 in words is "four billion, one hundred thirty-five million, five hundred forty-two thousand, one hundred forty-four".