444340322400 has 288 divisors, whose sum is σ = 1579529403648. Its totient is φ = 107835033600.

The previous prime is 444340322389. The next prime is 444340322401. The reversal of 444340322400 is 4223043444.

It is a super-2 number, since 2×444340322400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444340322401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2114907 + ... + 2315493.

It is an arithmetic number, because the mean of its divisors is an integer number (5484477096).

Almost surely, 2^444340322400 is an apocalyptic number.

444340322400 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 444340322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789764701824).

444340322400 is an abundant number, since it is smaller than the sum of its proper divisors (1135189081248).

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

444340322400 is a wasteful number, since it uses less digits than its factorization.

444340322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200694 (or 200681 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 444340322400 its reverse (4223043444), we get a palindrome (448563365844).

The spelling of 444340322400 in words is "four hundred forty-four billion, three hundred forty million, three hundred twenty-two thousand, four hundred".