4141441332 has 192 divisors, whose sum is σ = 13160448000. Its totient is φ = 1099298304.

The previous prime is 4141441301. The next prime is 4141441333. The reversal of 4141441332 is 2331441414.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 4141441296 and 4141441305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141441333) 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 63 ways as a sum of consecutive naturals, for example, 1013269 + ... + 1017347.

It is an arithmetic number, because the mean of its divisors is an integer number (68544000).

Almost surely, 2^4141441332 is an apocalyptic number.

4141441332 is a gapful number since it is divisible by the number (42) 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 4141441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580224000).

4141441332 is an abundant number, since it is smaller than the sum of its proper divisors (9019006668).

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

4141441332 is a wasteful number, since it uses less digits than its factorization.

4141441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4141441332 is about 64354.0312024041. The cubic root of 4141441332 is about 1605.8950933503.

Adding to 4141441332 its reverse (2331441414), we get a palindrome (6472882746).

The spelling of 4141441332 in words is "four billion, one hundred forty-one million, four hundred forty-one thousand, three hundred thirty-two".