448134912000 has 1152 divisors, whose sum is σ = 1763909784000. Its totient is φ = 108999475200.

The previous prime is 448134911999. The next prime is 448134912031. The reversal of 448134912000 is 219431844.

It is a happy number.

448134912000 is a `hidden beast` number, since 448 + 1 + 3 + 4 + 9 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1269503824 + ... + 1269504176.

Almost surely, 2^448134912000 is an apocalyptic number.

448134912000 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 448134912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881954892000).

448134912000 is an abundant number, since it is smaller than the sum of its proper divisors (1315774872000).

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

448134912000 is a wasteful number, since it uses less digits than its factorization.

448134912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 448134912000 in words is "four hundred forty-eight billion, one hundred thirty-four million, nine hundred twelve thousand".