4442020411200 has 168 divisors, whose sum is σ = 14576076044640. Its totient is φ = 1184331724800.

The previous prime is 4442020411109. The next prime is 4442020411237. The reversal of 4442020411200 is 21140202444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28429290 + ... + 28585110.

Almost surely, 2^{4442020411200} is an apocalyptic number.

4442020411200 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 4442020411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288038022320).

4442020411200 is an abundant number, since it is smaller than the sum of its proper divisors (10134055633440).

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

4442020411200 is a wasteful number, since it uses less digits than its factorization.

4442020411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161785 (or 161770 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4442020411200 its reverse (21140202444), we get a palindrome (4463160613644).

The spelling of 4442020411200 in words is "four trillion, four hundred forty-two billion, twenty million, four hundred eleven thousand, two hundred".