448145809920 has 560 divisors, whose sum is σ = 1617634054080. Its totient is φ = 119015350272.

The previous prime is 448145809847. The next prime is 448145809933. The reversal of 448145809920 is 29908541844.

It is a happy number.

448145809920 is a `hidden beast` number, since 4 + 4 + 81 + 458 + 0 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 819279087 + ... + 819279633.

Almost surely, 2^448145809920 is an apocalyptic number.

448145809920 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 448145809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808817027040).

448145809920 is an abundant number, since it is smaller than the sum of its proper divisors (1169488244160).

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

448145809920 is an frugal number, since it uses more digits than its factorization.

448145809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 448145809920 in words is "four hundred forty-eight billion, one hundred forty-five million, eight hundred nine thousand, nine hundred twenty".