4141214848 has 64 divisors (see below), whose sum is σ = 8674947000. Its totient is φ = 1966325760.

The previous prime is 4141214843. The next prime is 4141214867. The reversal of 4141214848 is 8484121414.

It can be written as a sum of positive squares in 4 ways, for example, as 3656862784 + 484352064 = 60472^2 + 22008^2 .

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

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 (4141214843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217288 + ... + 235576.

Almost surely, 2^4141214848 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 4141214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337473500).

4141214848 is an abundant number, since it is smaller than the sum of its proper divisors (4533732152).

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

4141214848 is a wasteful number, since it uses less digits than its factorization.

4141214848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18393 (or 18381 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The square root of 4141214848 is about 64352.2715061403. The cubic root of 4141214848 is about 1605.8658188260.

The spelling of 4141214848 in words is "four billion, one hundred forty-one million, two hundred fourteen thousand, eight hundred forty-eight".