444551786864640 has 5376 divisors, whose sum is σ = 2088434589696000. Its totient is φ = 84849721344000.

The previous prime is 444551786864617. The next prime is 444551786864693. The reversal of 444551786864640 is 46468687155444.

444551786864640 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 5 + 1 + 7 + 86 + 86 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2944051568565 + ... + 2944051568715.

It is an arithmetic number, because the mean of its divisors is an integer number (388473696000).

Almost surely, 2^{444551786864640} is an apocalyptic number.

444551786864640 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 444551786864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044217294848000).

444551786864640 is an abundant number, since it is smaller than the sum of its proper divisors (1643882802831360).

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

444551786864640 is a wasteful number, since it uses less digits than its factorization.

444551786864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 444551786864640 in words is "four hundred forty-four trillion, five hundred fifty-one billion, seven hundred eighty-six million, eight hundred sixty-four thousand, six hundred forty".