442124040 has 64 divisors (see below), whose sum is σ = 1331510400. Its totient is φ = 117443072.

The previous prime is 442124027. The next prime is 442124047. The reversal of 442124040 is 40421244.

It is a junction number, because it is equal to n+sod(n) for n = 442123998 and 442124016.

It is not an unprimeable number, because it can be changed into a prime (442124047) 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, 24556 + ... + 38564.

It is an arithmetic number, because the mean of its divisors is an integer number (20804850).

Almost surely, 2^442124040 is an apocalyptic number.

442124040 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 442124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665755200).

442124040 is an abundant number, since it is smaller than the sum of its proper divisors (889386360).

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

442124040 is a wasteful number, since it uses less digits than its factorization.

442124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14286 (or 14282 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442124040 is about 21026.7458252579. The cubic root of 442124040 is about 761.8124103366.

Adding to 442124040 its reverse (40421244), we get a palindrome (482545284).

The spelling of 442124040 in words is "four hundred forty-two million, one hundred twenty-four thousand, forty".