443344141000404 has 288 divisors, whose sum is σ = 1384676859238400. Its totient is φ = 116754668317440.

The previous prime is 443344141000379. The next prime is 443344141000421. The reversal of 443344141000404 is 404000141443344.

443344141000404 is a `hidden beast` number, since 4 + 433 + 44 + 141 + 0 + 0 + 0 + 40 + 4 = 666.

It is a super-2 number, since 2×443344141000404² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6329926017 + ... + 6329996055.

Almost surely, 2^{443344141000404} 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 443344141000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692338429619200).

443344141000404 is an abundant number, since it is smaller than the sum of its proper divisors (941332718237996).

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

443344141000404 is a wasteful number, since it uses less digits than its factorization.

443344141000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105843 (or 105838 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 443344141000404 its reverse (404000141443344), we get a palindrome (847344282443748).

The spelling of 443344141000404 in words is "four hundred forty-three trillion, three hundred forty-four billion, one hundred forty-one million, four hundred four", and thus it is an aban number.