4141141248 has 144 divisors (see below), whose sum is σ = 11713101120. Its totient is φ = 1294368768.

The previous prime is 4141141247. The next prime is 4141141259. The reversal of 4141141248 is 8421411414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141141247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5470086 + ... + 5470842.

It is an arithmetic number, because the mean of its divisors is an integer number (81340980).

Almost surely, 2^4141141248 is an apocalyptic number.

4141141248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856550560).

4141141248 is an abundant number, since it is smaller than the sum of its proper divisors (7571959872).

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

4141141248 is a wasteful number, since it uses less digits than its factorization.

4141141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 4141141248 is about 64351.6996512136. The cubic root of 4141141248 is about 1605.8563053194.

The spelling of 4141141248 in words is "four billion, one hundred forty-one million, one hundred forty-one thousand, two hundred forty-eight".