441064482768 has 480 divisors, whose sum is σ = 1597165163776. Its totient is φ = 114724491264.

The previous prime is 441064482737. The next prime is 441064482791. The reversal of 441064482768 is 867284460144.

441064482768 is a `hidden beast` number, since 4 + 41 + 0 + 64 + 482 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 25819446 + ... + 25836522.

Almost surely, 2^441064482768 is an apocalyptic number.

441064482768 is a gapful number since it is divisible by the number (48) 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 441064482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798582581888).

441064482768 is an abundant number, since it is smaller than the sum of its proper divisors (1156100681008).

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

441064482768 is a wasteful number, since it uses less digits than its factorization.

441064482768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193 (or 17175 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 441064482768 in words is "four hundred forty-one billion, sixty-four million, four hundred eighty-two thousand, seven hundred sixty-eight".