448171366800 has 240 divisors, whose sum is σ = 1509869076480. Its totient is φ = 113415160320.

The previous prime is 448171366781. The next prime is 448171366879. The reversal of 448171366800 is 8663171844.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448171366800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3441271 + ... + 3569129.

It is an arithmetic number, because the mean of its divisors is an integer number (6291121152).

Almost surely, 2^448171366800 is an apocalyptic number.

448171366800 is a gapful number since it is divisible by the number (40) 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 448171366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754934538240).

448171366800 is an abundant number, since it is smaller than the sum of its proper divisors (1061697709680).

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

448171366800 is a wasteful number, since it uses less digits than its factorization.

448171366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128030 (or 128019 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 448171366800 in words is "four hundred forty-eight billion, one hundred seventy-one million, three hundred sixty-six thousand, eight hundred".