42444144100 has 72 divisors (see below), whose sum is σ = 93011421888. Its totient is φ = 16810934400.

The previous prime is 42444144077. The next prime is 42444144121. The reversal of 42444144100 is 144144424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6376374 + ... + 6383026.

It is an arithmetic number, because the mean of its divisors is an integer number (1291825304).

Almost surely, 2^42444144100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46505710944).

42444144100 is an abundant number, since it is smaller than the sum of its proper divisors (50567277788).

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

42444144100 is a wasteful number, since it uses less digits than its factorization.

42444144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 42444144100 its reverse (144144424), we get a palindrome (42588288524).

The spelling of 42444144100 in words is "forty-two billion, four hundred forty-four million, one hundred forty-four thousand, one hundred".