441242120 has 128 divisors (see below), whose sum is σ = 1150848000. Its totient is φ = 150670080.

The previous prime is 441242107. The next prime is 441242147. The reversal of 441242120 is 21242144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441242092 and 441242101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596711 + ... + 597449.

It is an arithmetic number, because the mean of its divisors is an integer number (8991000).

Almost surely, 2^441242120 is an apocalyptic number.

441242120 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 441242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575424000).

441242120 is an abundant number, since it is smaller than the sum of its proper divisors (709605880).

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

441242120 is a wasteful number, since it uses less digits than its factorization.

441242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 441242120 is about 21005.7639708724. The cubic root of 441242120 is about 761.3055353712.

Adding to 441242120 its reverse (21242144), we get a palindrome (462484264).

The spelling of 441242120 in words is "four hundred forty-one million, two hundred forty-two thousand, one hundred twenty".