443988040401 has 12 divisors (see below), whose sum is σ = 679040532612. Its totient is φ = 278580731136.

The previous prime is 443988040387. The next prime is 443988040411. The reversal of 443988040401 is 104040889344.

443988040401 is a `hidden beast` number, since 4 + 43 + 98 + 80 + 40 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417419366400 + 26568674001 = 646080^2 + 162999^2 .

It is not a de Polignac number, because 443988040401 - 2⁹ = 443988039889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (443988040411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450941156 + ... + 1450941461.

It is an arithmetic number, because the mean of its divisors is an integer number (56586711051).

Almost surely, 2^443988040401 is an apocalyptic number.

It is an amenable number.

443988040401 is a deficient number, since it is larger than the sum of its proper divisors (235052492211).

443988040401 is a wasteful number, since it uses less digits than its factorization.

443988040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901882640 (or 2901882637 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 443988040401 in words is "four hundred forty-three billion, nine hundred eighty-eight million, forty thousand, four hundred one".