448129704960 has 704 divisors, whose sum is σ = 1927216765440. Its totient is φ = 96400834560.

The previous prime is 448129704941. The next prime is 448129705003. The reversal of 448129704960 is 69407921844.

448129704960 is a `hidden beast` number, since 4 + 4 + 81 + 2 + 9 + 70 + 496 + 0 = 666.

It is a super-3 number, since 3×448129704960³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 448129704897 and 448129704906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16436940 + ... + 16464180.

Almost surely, 2^448129704960 is an apocalyptic number.

448129704960 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 448129704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963608382720).

448129704960 is an abundant number, since it is smaller than the sum of its proper divisors (1479087060480).

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

448129704960 is a wasteful number, since it uses less digits than its factorization.

448129704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27299 (or 27275 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 448129704960 in words is "four hundred forty-eight billion, one hundred twenty-nine million, seven hundred four thousand, nine hundred sixty".