448413845391360 has 2304 divisors, whose sum is σ = 1701458662176000. Its totient is φ = 111967233638400.

The previous prime is 448413845391341. The next prime is 448413845391431. The reversal of 448413845391360 is 63193548314844.

448413845391360 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 1 + 3 + 84 + 539 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1183149987651 + ... + 1183149988029.

It is an arithmetic number, because the mean of its divisors is an integer number (738480322125).

Almost surely, 2^{448413845391360} is an apocalyptic number.

448413845391360 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 448413845391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850729331088000).

448413845391360 is an abundant number, since it is smaller than the sum of its proper divisors (1253044816784640).

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

448413845391360 is a wasteful number, since it uses less digits than its factorization.

448413845391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 448413845391360 in words is "four hundred forty-eight trillion, four hundred thirteen billion, eight hundred forty-five million, three hundred ninety-one thousand, three hundred sixty".