42444442000 has 160 divisors (see below), whose sum is σ = 109111766400. Its totient is φ = 15923520000.

The previous prime is 42444441979. The next prime is 42444442031. The reversal of 42444442000 is 24444424.

It is a self number, because there is not a number n which added to its sum of digits gives 42444442000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3832471 + ... + 3843529.

It is an arithmetic number, because the mean of its divisors is an integer number (681948540).

Almost surely, 2^42444442000 is an apocalyptic number.

42444442000 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 42444442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54555883200).

42444442000 is an abundant number, since it is smaller than the sum of its proper divisors (66667324400).

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

42444442000 is a wasteful number, since it uses less digits than its factorization.

42444442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11202 (or 11186 counting only the distinct ones).

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

Adding to 42444442000 its reverse (24444424), we get a palindrome (42468886424).

The spelling of 42444442000 in words is "forty-two billion, four hundred forty-four million, four hundred forty-two thousand".