4131241128 has 288 divisors, whose sum is σ = 13758413760. Its totient is φ = 1096704000.

The previous prime is 4131241123. The next prime is 4131241141. The reversal of 4131241128 is 8211421314.

4131241128 is a `hidden beast` number, since 413 + 1 + 241 + 1 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4131241123) 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 71 ways as a sum of consecutive naturals, for example, 16459003 + ... + 16459253.

It is an arithmetic number, because the mean of its divisors is an integer number (47772270).

Almost surely, 2^4131241128 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 4131241128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879206880).

4131241128 is an abundant number, since it is smaller than the sum of its proper divisors (9627172632).

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

4131241128 is a wasteful number, since it uses less digits than its factorization.

4131241128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 393 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 4131241128 is about 64274.7316447140. The cubic root of 4131241128 is about 1604.5755910475.

The spelling of 4131241128 in words is "four billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred twenty-eight".