444142422000 has 240 divisors, whose sum is σ = 1589079229920. Its totient is φ = 115549056000.

The previous prime is 444142421963. The next prime is 444142422013. The reversal of 444142422000 is 224241444.

444142422000 is a `hidden beast` number, since 4 + 4 + 414 + 2 + 42 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437091 + ... + 1038909.

It is an arithmetic number, because the mean of its divisors is an integer number (6621163458).

Almost surely, 2^444142422000 is an apocalyptic number.

444142422000 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 444142422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794539614960).

444142422000 is an abundant number, since it is smaller than the sum of its proper divisors (1144936807920).

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

444142422000 is a wasteful number, since it uses less digits than its factorization.

444142422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601889 (or 601870 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444142422000 its reverse (224241444), we get a palindrome (444366663444).

The spelling of 444142422000 in words is "four hundred forty-four billion, one hundred forty-two million, four hundred twenty-two thousand".