442205240000000 has 640 divisors, whose sum is σ = 1165737484454400. Its totient is φ = 167114880000000.

The previous prime is 442205239999993. The next prime is 442205240000003. The reversal of 442205240000000 is 42502244.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442205240000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433959999491 + ... + 433960000509.

It is an arithmetic number, because the mean of its divisors is an integer number (1821464819460).

Almost surely, 2^{442205240000000} is an apocalyptic number.

442205240000000 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 442205240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582868742227200).

442205240000000 is an abundant number, since it is smaller than the sum of its proper divisors (723532244454400).

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

442205240000000 is an frugal number, since it uses more digits than its factorization.

442205240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 442205240000000 its reverse (42502244), we get a palindrome (442205282502244).

The spelling of 442205240000000 in words is "four hundred forty-two trillion, two hundred five billion, two hundred forty million", and thus it is an aban number.