441185107968 has 896 divisors, whose sum is σ = 1526573338560. Its totient is φ = 126127964160.

The previous prime is 441185107967. The next prime is 441185107981. The reversal of 441185107968 is 869701581144.

441185107968 is a `hidden beast` number, since 4 + 4 + 118 + 510 + 7 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (441185107967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6043631580 + ... + 6043631652.

Almost surely, 2^441185107968 is an apocalyptic number.

441185107968 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 441185107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763286669280).

441185107968 is an abundant number, since it is smaller than the sum of its proper divisors (1085388230592).

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

441185107968 is an frugal number, since it uses more digits than its factorization.

441185107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 441185107968 in words is "four hundred forty-one billion, one hundred eighty-five million, one hundred seven thousand, nine hundred sixty-eight".