444405537546360 has 512 divisors, whose sum is σ = 1514400537323520. Its totient is φ = 103509295718400.

The previous prime is 444405537546343. The next prime is 444405537546367. The reversal of 444405537546360 is 63645735504444.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 444405537546294 and 444405537546303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444405537546367) by changing a digit.

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, 1489839630 + ... + 1490137890.

It is an arithmetic number, because the mean of its divisors is an integer number (2957813549460).

Almost surely, 2^{444405537546360} is an apocalyptic number.

444405537546360 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 444405537546360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757200268661760).

444405537546360 is an abundant number, since it is smaller than the sum of its proper divisors (1069994999777160).

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

444405537546360 is a wasteful number, since it uses less digits than its factorization.

444405537546360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298759 (or 298755 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 60.

The spelling of 444405537546360 in words is "four hundred forty-four trillion, four hundred five billion, five hundred thirty-seven million, five hundred forty-six thousand, three hundred sixty".