441227049984 has 704 divisors, whose sum is σ = 1608725836800. Its totient is φ = 116586971136.

The previous prime is 441227049973. The next prime is 441227050007. The reversal of 441227049984 is 489940722144.

441227049984 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 2 + 70 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 441227049984.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 194115472 + ... + 194117744.

Almost surely, 2^441227049984 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 441227049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804362918400).

441227049984 is an abundant number, since it is smaller than the sum of its proper divisors (1167498786816).

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

441227049984 is a wasteful number, since it uses less digits than its factorization.

441227049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 441227049984 in words is "four hundred forty-one billion, two hundred twenty-seven million, forty-nine thousand, nine hundred eighty-four".