444123423000 has 384 divisors, whose sum is σ = 1586901888000. Its totient is φ = 111719865600.

The previous prime is 444123422987. The next prime is 444123423043. The reversal of 444123423000 is 324321444.

It is a happy number.

444123423000 is a `hidden beast` number, since 4 + 4 + 4 + 12 + 342 + 300 + 0 = 666.

It is a super-2 number, since 2×444123423000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40863567 + ... + 40874433.

It is an arithmetic number, because the mean of its divisors is an integer number (4132557000).

Almost surely, 2^444123423000 is an apocalyptic number.

444123423000 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 444123423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793450944000).

444123423000 is an abundant number, since it is smaller than the sum of its proper divisors (1142778465000).

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

444123423000 is a wasteful number, since it uses less digits than its factorization.

444123423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444123423000 its reverse (324321444), we get a palindrome (444447744444).

The spelling of 444123423000 in words is "four hundred forty-four billion, one hundred twenty-three million, four hundred twenty-three thousand".