404462853008448 has 896 divisors, whose sum is σ = 1233352980787200. Its totient is φ = 115952781754368.

The previous prime is 404462853008443. The next prime is 404462853008549. The reversal of 404462853008448 is 844800358264404.

It is a junction number, because it is equal to n+sod(n) for n = 404462853008391 and 404462853008400.

It is not an unprimeable number, because it can be changed into a prime (404462853008443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 885039065436 + ... + 885039065892.

It is an arithmetic number, because the mean of its divisors is an integer number (1376510023200).

Almost surely, 2^{404462853008448} is an apocalyptic number.

404462853008448 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 404462853008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616676490393600).

404462853008448 is an abundant number, since it is smaller than the sum of its proper divisors (828890127778752).

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

404462853008448 is a wasteful number, since it uses less digits than its factorization.

404462853008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 60.

The spelling of 404462853008448 in words is "four hundred four trillion, four hundred sixty-two billion, eight hundred fifty-three million, eight thousand, four hundred forty-eight".