442403114144 has 48 divisors (see below), whose sum is σ = 872309025000. Its totient is φ = 220864610304.

The previous prime is 442403114117. The next prime is 442403114147. The reversal of 442403114144 is 441411304244.

It can be written as a sum of positive squares in 4 ways, for example, as 364791840400 + 77611273744 = 603980^2 + 278588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 442403114144.

It is not an unprimeable number, because it can be changed into a prime (442403114147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71020022 + ... + 71026250.

Almost surely, 2^442403114144 is an apocalyptic number.

It is an amenable number.

442403114144 is a deficient number, since it is larger than the sum of its proper divisors (429905910856).

442403114144 is a wasteful number, since it uses less digits than its factorization.

442403114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9265 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 442403114144 its reverse (441411304244), we get a palindrome (883814418388).

The spelling of 442403114144 in words is "four hundred forty-two billion, four hundred three million, one hundred fourteen thousand, one hundred forty-four".