441490984704 has 1728 divisors, whose sum is σ = 1783349120000. Its totient is φ = 108637562880.

The previous prime is 441490984703. The next prime is 441490984709. The reversal of 441490984704 is 407489094144.

It is a happy number.

441490984704 is a `hidden beast` number, since 4 + 4 + 1 + 490 + 9 + 84 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441490984703) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 23236367607 + ... + 23236367625.

Almost surely, 2^441490984704 is an apocalyptic number.

441490984704 is a gapful number since it is divisible by the number (44) 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 441490984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891674560000).

441490984704 is an abundant number, since it is smaller than the sum of its proper divisors (1341858135296).

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

441490984704 is an frugal number, since it uses more digits than its factorization.

441490984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

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

The spelling of 441490984704 in words is "four hundred forty-one billion, four hundred ninety million, nine hundred eighty-four thousand, seven hundred four".