448841131200 has 1344 divisors, whose sum is σ = 2075410022400. Its totient is φ = 91644825600.

The previous prime is 448841131159. The next prime is 448841131201. The reversal of 448841131200 is 2131148844.

It is a happy number.

448841131200 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 411 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×448841131200² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (448841131201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196256457 + ... + 196258743.

Almost surely, 2^448841131200 is an apocalyptic number.

448841131200 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 448841131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037705011200).

448841131200 is an abundant number, since it is smaller than the sum of its proper divisors (1626568891200).

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

448841131200 is a wasteful number, since it uses less digits than its factorization.

448841131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 448841131200 in words is "four hundred forty-eight billion, eight hundred forty-one million, one hundred thirty-one thousand, two hundred".