441125100 has 216 divisors, whose sum is σ = 1530787440. Its totient is φ = 105546240.

The previous prime is 441125081. The next prime is 441125141. The reversal of 441125100 is 1521144.

441125100 is a `hidden beast` number, since 4 + 411 + 251 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432391 + ... + 433409.

Almost surely, 2^441125100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765393720).

441125100 is an abundant number, since it is smaller than the sum of its proper divisors (1089662340).

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

441125100 is a wasteful number, since it uses less digits than its factorization.

441125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 441125100 is about 21002.9783602231. The cubic root of 441125100 is about 761.2382285221.

Adding to 441125100 its reverse (1521144), we get a palindrome (442646244).

The spelling of 441125100 in words is "four hundred forty-one million, one hundred twenty-five thousand, one hundred".