4131542016 has 264 divisors, whose sum is σ = 13922875200. Its totient is φ = 1179537408.

The previous prime is 4131541987. The next prime is 4131542027. The reversal of 4131542016 is 6102451314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3160435 + ... + 3161741.

Almost surely, 2^4131542016 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 4131542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961437600).

4131542016 is an abundant number, since it is smaller than the sum of its proper divisors (9791333184).

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

4131542016 is a wasteful number, since it uses less digits than its factorization.

4131542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4131542016 is about 64277.0722419744. The cubic root of 4131542016 is about 1604.6145451055.

The spelling of 4131542016 in words is "four billion, one hundred thirty-one million, five hundred forty-two thousand, sixteen".