444000252144000 has 1024 divisors, whose sum is σ = 1512125252352000. Its totient is φ = 115202101248000.

The previous prime is 444000252143969. The next prime is 444000252144077. The reversal of 444000252144000 is 441252000444.

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

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 127 ways as a sum of consecutive naturals, for example, 199910062890 + ... + 199910065110.

It is an arithmetic number, because the mean of its divisors is an integer number (1476684816750).

Almost surely, 2^{444000252144000} is an apocalyptic number.

444000252144000 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 444000252144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756062626176000).

444000252144000 is an abundant number, since it is smaller than the sum of its proper divisors (1068125000208000).

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

444000252144000 is a wasteful number, since it uses less digits than its factorization.

444000252144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 444000252144000 in words is "four hundred forty-four trillion, two hundred fifty-two million, one hundred forty-four thousand".