441001200420 has 216 divisors, whose sum is σ = 1471397244408. Its totient is φ = 106834590720.

The previous prime is 441001200383. The next prime is 441001200439. The reversal of 441001200420 is 24002100144.

441001200420 is a `hidden beast` number, since 4 + 41 + 0 + 0 + 1 + 200 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205230744576 + 235770455844 = 453024^2 + 485562^2 .

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 = 441001200393 and 441001200402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35124864 + ... + 35137416.

Almost surely, 2^441001200420 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 441001200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735698622204).

441001200420 is an abundant number, since it is smaller than the sum of its proper divisors (1030396043988).

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

441001200420 is a wasteful number, since it uses less digits than its factorization.

441001200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 441001200420 its reverse (24002100144), we get a palindrome (465003300564).

The spelling of 441001200420 in words is "four hundred forty-one billion, one million, two hundred thousand, four hundred twenty".