442040420440 has 64 divisors (see below), whose sum is σ = 1008900748800. Its totient is φ = 174279850368.

The previous prime is 442040420417. The next prime is 442040420449. The reversal of 442040420440 is 44024040244.

It is a junction number, because it is equal to n+sod(n) for n = 442040420399 and 442040420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442040420449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735767 + ... + 1974073.

It is an arithmetic number, because the mean of its divisors is an integer number (15764074200).

Almost surely, 2^442040420440 is an apocalyptic number.

442040420440 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 442040420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504450374400).

442040420440 is an abundant number, since it is smaller than the sum of its proper divisors (566860328360).

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

442040420440 is a wasteful number, since it uses less digits than its factorization.

442040420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238984 (or 238980 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 442040420440 its reverse (44024040244), we get a palindrome (486064460684).

The spelling of 442040420440 in words is "four hundred forty-two billion, forty million, four hundred twenty thousand, four hundred forty".