441193978368 has 480 divisors, whose sum is σ = 1512932541120. Its totient is φ = 122008043520.

The previous prime is 441193978361. The next prime is 441193978387. The reversal of 441193978368 is 863879391144.

441193978368 is a `hidden beast` number, since 4 + 411 + 93 + 9 + 78 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (441193978361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58642255 + ... + 58649777.

It is an arithmetic number, because the mean of its divisors is an integer number (3151942794).

Almost surely, 2^441193978368 is an apocalyptic number.

441193978368 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 441193978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756466270560).

441193978368 is an abundant number, since it is smaller than the sum of its proper divisors (1071738562752).

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

441193978368 is a wasteful number, since it uses less digits than its factorization.

441193978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7641 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 441193978368 in words is "four hundred forty-one billion, one hundred ninety-three million, nine hundred seventy-eight thousand, three hundred sixty-eight".