4141283328 has 384 divisors, whose sum is σ = 15116774400. Its totient is φ = 1090879488.

The previous prime is 4141283323. The next prime is 4141283383. The reversal of 4141283328 is 8233821414.

It is a happy number.

4141283328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4141283292 and 4141283301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141283323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031525 + ... + 5032347.

It is an arithmetic number, because the mean of its divisors is an integer number (39366600).

Almost surely, 2^4141283328 is an apocalyptic number.

4141283328 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 4141283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558387200).

4141283328 is an abundant number, since it is smaller than the sum of its proper divisors (10975491072).

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

4141283328 is a wasteful number, since it uses less digits than its factorization.

4141283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4141283328 is about 64352.8035752911. The cubic root of 4141283328 is about 1605.8746704222.

The spelling of 4141283328 in words is "four billion, one hundred forty-one million, two hundred eighty-three thousand, three hundred twenty-eight".