444172113000 has 1536 divisors, whose sum is σ = 2040521932800. Its totient is φ = 88216128000.

The previous prime is 444172112999. The next prime is 444172113019. The reversal of 444172113000 is 311271444.

444172113000 is a `hidden beast` number, since 4 + 4 + 417 + 211 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 383 ways as a sum of consecutive naturals, for example, 334718337 + ... + 334719663.

It is an arithmetic number, because the mean of its divisors is an integer number (1328464800).

Almost surely, 2^444172113000 is an apocalyptic number.

444172113000 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 444172113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020260966400).

444172113000 is an abundant number, since it is smaller than the sum of its proper divisors (1596349819800).

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

444172113000 is a wasteful number, since it uses less digits than its factorization.

444172113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 444172113000 its reverse (311271444), we get a palindrome (444483384444).

The spelling of 444172113000 in words is "four hundred forty-four billion, one hundred seventy-two million, one hundred thirteen thousand".