448277400130320 has 240 divisors, whose sum is σ = 1587475266062400. Its totient is φ = 113050690882560.

The previous prime is 448277400130309. The next prime is 448277400130367. The reversal of 448277400130320 is 23031004772844.

448277400130320 is a `hidden beast` number, since 4 + 4 + 8 + 277 + 40 + 0 + 13 + 0 + 320 = 666.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20882955 + ... + 36505514.

It is an arithmetic number, because the mean of its divisors is an integer number (6614480275260).

Almost surely, 2^{448277400130320} is an apocalyptic number.

448277400130320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448277400130320 is an abundant number, since it is smaller than the sum of its proper divisors (1139197865932080).

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

448277400130320 is a wasteful number, since it uses less digits than its factorization.

448277400130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57389078 (or 57389069 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 448277400130320 in words is "four hundred forty-eight trillion, two hundred seventy-seven billion, four hundred million, one hundred thirty thousand, three hundred twenty".