6441120 has 240 divisors, whose sum is σ = 26345088. Its totient is φ = 1451520.

The previous prime is 6441119. The next prime is 6441131. The reversal of 6441120 is 211446.

6441120 is a `hidden beast` number, since 644 + 1 + 1 + 20 = 666.

6441120 is digitally balanced in base 5, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6441093 and 6441102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90685 + ... + 90755.

Almost surely, 2^6441120 is an apocalyptic number.

6441120 is a gapful number since it is divisible by the number (60) 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 6441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

6441120 is an abundant number, since it is smaller than the sum of its proper divisors (19903968).

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

6441120 is a wasteful number, since it uses less digits than its factorization.

6441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6441120 is about 2537.9361694101. The cubic root of 6441120 is about 186.0603342249.

Adding to 6441120 its reverse (211446), we get a palindrome (6652566).

It can be divided in two parts, 6441 and 120, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6441120 in words is "six million, four hundred forty-one thousand, one hundred twenty".