442101440000 has 200 divisors, whose sum is σ = 1204177858488. Its totient is φ = 160762880000.

The previous prime is 442101439993. The next prime is 442101440021. The reversal of 442101440000 is 44101244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 3457202 + ... + 3582798.

Almost surely, 2^442101440000 is an apocalyptic number.

442101440000 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 442101440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602088929244).

442101440000 is an abundant number, since it is smaller than the sum of its proper divisors (762076418488).

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

442101440000 is an equidigital number, since it uses as much as digits as its factorization.

442101440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125646 (or 125615 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 442101440000 its reverse (44101244), we get a palindrome (442145541244).

The spelling of 442101440000 in words is "four hundred forty-two billion, one hundred one million, four hundred forty thousand".