4444214947200 has 1536 divisors, whose sum is σ = 19061729971200. Its totient is φ = 1002663567360.

The previous prime is 4444214947177. The next prime is 4444214947243. The reversal of 4444214947200 is 27494124444.

4444214947200 is a `hidden beast` number, since 4 + 4 + 442 + 149 + 47 + 20 + 0 = 666.

It is a super-3 number, since 3×4444214947200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4066069854 + ... + 4066070946.

It is an arithmetic number, because the mean of its divisors is an integer number (12409980450).

Almost surely, 2^{4444214947200} is an apocalyptic number.

4444214947200 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 4444214947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530864985600).

4444214947200 is an abundant number, since it is smaller than the sum of its proper divisors (14617515024000).

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

4444214947200 is an equidigital number, since it uses as much as digits as its factorization.

4444214947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4444214947200 in words is "four trillion, four hundred forty-four billion, two hundred fourteen million, nine hundred forty-seven thousand, two hundred".