4141320400 has 120 divisors (see below), whose sum is σ = 11613185280. Its totient is φ = 1389626880.

The previous prime is 4141320373. The next prime is 4141320431. The reversal of 4141320400 is 40231414.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115866 + ... + 147334.

It is an arithmetic number, because the mean of its divisors is an integer number (96776544).

Almost surely, 2^4141320400 is an apocalyptic number.

4141320400 is a gapful number since it is divisible by the number (40) 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 4141320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806592640).

4141320400 is an abundant number, since it is smaller than the sum of its proper divisors (7471864880).

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

4141320400 is a wasteful number, since it uses less digits than its factorization.

4141320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541 (or 31530 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4141320400 is about 64353.0916118255. The cubic root of 4141320400 is about 1605.8794622386.

Adding to 4141320400 its reverse (40231414), we get a palindrome (4181551814).

The spelling of 4141320400 in words is "four billion, one hundred forty-one million, three hundred twenty thousand, four hundred".