441816783408 has 480 divisors, whose sum is σ = 1680207459840. Its totient is φ = 104650997760.

The previous prime is 441816783403. The next prime is 441816783451. The reversal of 441816783408 is 804387618144.

441816783408 is a `hidden beast` number, since 441 + 8 + 167 + 8 + 34 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (441816783403) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11945488 + ... + 11982416.

It is an arithmetic number, because the mean of its divisors is an integer number (3500432208).

Almost surely, 2^441816783408 is an apocalyptic number.

441816783408 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 441816783408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840103729920).

441816783408 is an abundant number, since it is smaller than the sum of its proper divisors (1238390676432).

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

441816783408 is a wasteful number, since it uses less digits than its factorization.

441816783408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37057 (or 37048 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 441816783408 in words is "four hundred forty-one billion, eight hundred sixteen million, seven hundred eighty-three thousand, four hundred eight".