42444414200 has 96 divisors (see below), whose sum is σ = 101097279360. Its totient is φ = 16563388800.

The previous prime is 42444414197. The next prime is 42444414211. The reversal of 42444414200 is 241444424.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8864207 + ... + 8868993.

It is an arithmetic number, because the mean of its divisors is an integer number (1053096660).

Almost surely, 2^42444414200 is an apocalyptic number.

42444414200 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 42444414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50548639680).

42444414200 is an abundant number, since it is smaller than the sum of its proper divisors (58652865160).

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

42444414200 is a wasteful number, since it uses less digits than its factorization.

42444414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 42444414200 its reverse (241444424), we get a palindrome (42685858624).

The spelling of 42444414200 in words is "forty-two billion, four hundred forty-four million, four hundred fourteen thousand, two hundred".