444242043004200 has 384 divisors, whose sum is σ = 1675674682456320. Its totient is φ = 95040033177600.

The previous prime is 444242043004169. The next prime is 444242043004211. The reversal of 444242043004200 is 2400340242444.

It is a super-2 number, since 2×444242043004200² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4264107 + ... + 30110906.

It is an arithmetic number, because the mean of its divisors is an integer number (4363736152230).

Almost surely, 2^{444242043004200} is an apocalyptic number.

444242043004200 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 444242043004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837837341228160).

444242043004200 is an abundant number, since it is smaller than the sum of its proper divisors (1231432639452120).

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

444242043004200 is a wasteful number, since it uses less digits than its factorization.

444242043004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34375237 (or 34375228 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 444242043004200 its reverse (2400340242444), we get a palindrome (446642383246644).

The spelling of 444242043004200 in words is "four hundred forty-four trillion, two hundred forty-two billion, forty-three million, four thousand, two hundred".