444423120400 has 180 divisors, whose sum is σ = 1242815633280. Its totient is φ = 152279635200.

The previous prime is 444423120397. The next prime is 444423120403. The reversal of 444423120400 is 4021324444.

It is an interprime number because it is at equal distance from previous prime (444423120397) and next prime (444423120403).

It is a super-3 number, since 3×444423120400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (444423120403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36665541 + ... + 36677659.

It is an arithmetic number, because the mean of its divisors is an integer number (6904531296).

Almost surely, 2^444423120400 is an apocalyptic number.

444423120400 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 444423120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621407816640).

444423120400 is an abundant number, since it is smaller than the sum of its proper divisors (798392512880).

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

444423120400 is a wasteful number, since it uses less digits than its factorization.

444423120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14022 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444423120400 its reverse (4021324444), we get a palindrome (448444444844).

The spelling of 444423120400 in words is "four hundred forty-four billion, four hundred twenty-three million, one hundred twenty thousand, four hundred".