441201421260 has 384 divisors, whose sum is σ = 1475324928000. Its totient is φ = 109070032896.

The previous prime is 441201421187. The next prime is 441201421261. The reversal of 441201421260 is 62124102144.

441201421260 is a `hidden beast` number, since 441 + 2 + 0 + 1 + 4 + 212 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (441201421261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250824261 + ... + 250826019.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992000).

Almost surely, 2^441201421260 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 441201421260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737662464000).

441201421260 is an abundant number, since it is smaller than the sum of its proper divisors (1034123506740).

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

441201421260 is a wasteful number, since it uses less digits than its factorization.

441201421260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 441201421260 in words is "four hundred forty-one billion, two hundred one million, four hundred twenty-one thousand, two hundred sixty".