448941201408 has 960 divisors, whose sum is σ = 1617168833280. Its totient is φ = 121899810816.

The previous prime is 448941201403. The next prime is 448941201413. The reversal of 448941201408 is 804102149844.

448941201408 is a `hidden beast` number, since 4 + 489 + 4 + 1 + 20 + 140 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (448941201403) and next prime (448941201413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448941201403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10440493035 + ... + 10440493077.

It is an arithmetic number, because the mean of its divisors is an integer number (1684550868).

Almost surely, 2^448941201408 is an apocalyptic number.

448941201408 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 448941201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808584416640).

448941201408 is an abundant number, since it is smaller than the sum of its proper divisors (1168227631872).

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

448941201408 is an frugal number, since it uses more digits than its factorization.

448941201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 448941201408 in words is "four hundred forty-eight billion, nine hundred forty-one million, two hundred one thousand, four hundred eight".