444420222000 has 640 divisors, whose sum is σ = 1634385392640. Its totient is φ = 103193395200.

The previous prime is 444420221977. The next prime is 444420222023. The reversal of 444420222000 is 222024444.

It is an interprime number because it is at equal distance from previous prime (444420221977) and next prime (444420222023).

It is a super-3 number, since 3×444420222000³ (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83331334 + ... + 83336666.

It is an arithmetic number, because the mean of its divisors is an integer number (2553727176).

Almost surely, 2^444420222000 is an apocalyptic number.

444420222000 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 444420222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817192696320).

444420222000 is an abundant number, since it is smaller than the sum of its proper divisors (1189965170640).

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

444420222000 is a wasteful number, since it uses less digits than its factorization.

444420222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444420222000 its reverse (222024444), we get a palindrome (444642246444).

The spelling of 444420222000 in words is "four hundred forty-four billion, four hundred twenty million, two hundred twenty-two thousand".