442114344245200 has 60 divisors (see below), whose sum is σ = 1158741504065088. Its totient is φ = 160768852451200.

The previous prime is 442114344245143. The next prime is 442114344245201. The reversal of 442114344245200 is 2542443411244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442114344245201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50240261992 + ... + 50240270791.

Almost surely, 2^{442114344245200} is an apocalyptic number.

442114344245200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442114344245200 is an abundant number, since it is smaller than the sum of its proper divisors (716627159819888).

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

442114344245200 is a wasteful number, since it uses less digits than its factorization.

442114344245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100480532812 (or 100480532801 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 442114344245200 its reverse (2542443411244), we get a palindrome (444656787656444).

The spelling of 442114344245200 in words is "four hundred forty-two trillion, one hundred fourteen billion, three hundred forty-four million, two hundred forty-five thousand, two hundred".