444420031200 has 144 divisors (see below), whose sum is σ = 1447180718256. Its totient is φ = 118463385600.

The previous prime is 444420031117. The next prime is 444420031201. The reversal of 444420031200 is 2130024444.

It is a happy number.

It is a super-3 number, since 3×444420031200³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6013674 + ... + 6087126.

It is an arithmetic number, because the mean of its divisors is an integer number (10049866099).

Almost surely, 2^444420031200 is an apocalyptic number.

444420031200 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 444420031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723590359128).

444420031200 is an abundant number, since it is smaller than the sum of its proper divisors (1002760687056).

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

444420031200 is a wasteful number, since it uses less digits than its factorization.

444420031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75997 (or 75984 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444420031200 its reverse (2130024444), we get a palindrome (446550055644).

The spelling of 444420031200 in words is "four hundred forty-four billion, four hundred twenty million, thirty-one thousand, two hundred".