442240233440 has 48 divisors (see below), whose sum is σ = 1099781640720. Its totient is φ = 167585771520.

The previous prime is 442240233439. The next prime is 442240233509. The reversal of 442240233440 is 44332042244.

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 = 442240233397 and 442240233406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72733841 + ... + 72739920.

It is an arithmetic number, because the mean of its divisors is an integer number (22912117515).

Almost surely, 2^442240233440 is an apocalyptic number.

442240233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442240233440 is an abundant number, since it is smaller than the sum of its proper divisors (657541407280).

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

442240233440 is a wasteful number, since it uses less digits than its factorization.

442240233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145473795 (or 145473787 counting only the distinct ones).

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

Adding to 442240233440 its reverse (44332042244), we get a palindrome (486572275684).

The spelling of 442240233440 in words is "four hundred forty-two billion, two hundred forty million, two hundred thirty-three thousand, four hundred forty".