442432423040 has 128 divisors (see below), whose sum is σ = 1069186411440. Its totient is φ = 175052800000.

The previous prime is 442432423007. The next prime is 442432423049. The reversal of 442432423040 is 40324234244.

It can be written as a sum of positive squares in 8 ways, for example, as 210886682176 + 231545740864 = 459224^2 + 481192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 442432422988 and 442432423006.

It is not an unprimeable number, because it can be changed into a prime (442432423049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84094010 + ... + 84099270.

Almost surely, 2^442432423040 is an apocalyptic number.

442432423040 is a gapful number since it is divisible by the number (40) 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 442432423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534593205720).

442432423040 is an abundant number, since it is smaller than the sum of its proper divisors (626753988400).

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

442432423040 is a wasteful number, since it uses less digits than its factorization.

442432423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 442432423040 its reverse (40324234244), we get a palindrome (482756657284).

The spelling of 442432423040 in words is "four hundred forty-two billion, four hundred thirty-two million, four hundred twenty-three thousand, forty".