442144030000 has 100 divisors (see below), whose sum is σ = 1074745852488. Its totient is φ = 176152000000.

The previous prime is 442144029991. The next prime is 442144030021. The reversal of 442144030000 is 30441244.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2421924 + ... + 2598076.

Almost surely, 2^442144030000 is an apocalyptic number.

442144030000 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 442144030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537372926244).

442144030000 is an abundant number, since it is smaller than the sum of its proper divisors (632601822488).

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

442144030000 is a wasteful number, since it uses less digits than its factorization.

442144030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176432 (or 176411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 442144030000 its reverse (30441244), we get a palindrome (442174471244).

The spelling of 442144030000 in words is "four hundred forty-two billion, one hundred forty-four million, thirty thousand".