444114132000000 has 4032 divisors, whose sum is σ = 1989501934049280. Its totient is φ = 85155840000000.

The previous prime is 444114131999983. The next prime is 444114132000053. The reversal of 444114132000000 is 231411444.

It is a super-2 number, since 2×444114132000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 719795999692 + ... + 719796000308.

It is an arithmetic number, because the mean of its divisors is an integer number (493428059040).

Almost surely, 2^{444114132000000} is an apocalyptic number.

444114132000000 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 444114132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994750967024640).

444114132000000 is an abundant number, since it is smaller than the sum of its proper divisors (1545387802049280).

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

444114132000000 is an equidigital number, since it uses as much as digits as its factorization.

444114132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444114132000000 its reverse (231411444), we get a palindrome (444114363411444).

The spelling of 444114132000000 in words is "four hundred forty-four trillion, one hundred fourteen billion, one hundred thirty-two million", and thus it is an aban number.