444482667627264 has 576 divisors, whose sum is σ = 1623011088384000. Its totient is φ = 119524740120576.

The previous prime is 444482667627211. The next prime is 444482667627287. The reversal of 444482667627264 is 462726766284444.

444482667627264 is a `hidden beast` number, since 4 + 4 + 4 + 48 + 266 + 7 + 62 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×444482667627264² (a number of 30 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444482667627192 and 444482667627201.

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 63 ways as a sum of consecutive naturals, for example, 34789729 + ... + 45818015.

It is an arithmetic number, because the mean of its divisors is an integer number (2817727584000).

Almost surely, 2^{444482667627264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444482667627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811505544192000).

444482667627264 is an abundant number, since it is smaller than the sum of its proper divisors (1178528420756736).

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

444482667627264 is a wasteful number, since it uses less digits than its factorization.

444482667627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028350 (or 11028316 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 72.

The spelling of 444482667627264 in words is "four hundred forty-four trillion, four hundred eighty-two billion, six hundred sixty-seven million, six hundred twenty-seven thousand, two hundred sixty-four".