444214322400000 has 432 divisors, whose sum is σ = 1477945055962368. Its totient is φ = 118439738880000.

The previous prime is 444214322399899. The next prime is 444214322400001. The reversal of 444214322400000 is 4223412444.

It is a super-2 number, since 2×444214322400000² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (444214322400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32455193157 + ... + 32455206843.

It is an arithmetic number, because the mean of its divisors is an integer number (3421169111024).

Almost surely, 2^{444214322400000} is an apocalyptic number.

444214322400000 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 444214322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738972527981184).

444214322400000 is an abundant number, since it is smaller than the sum of its proper divisors (1033730733562368).

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

444214322400000 is an equidigital number, since it uses as much as digits as its factorization.

444214322400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27254 (or 27220 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444214322400000 its reverse (4223412444), we get a palindrome (444218545812444).

The spelling of 444214322400000 in words is "four hundred forty-four trillion, two hundred fourteen billion, three hundred twenty-two million, four hundred thousand".