448714801085040 has 960 divisors, whose sum is σ = 1926791463168000. Its totient is φ = 91101899390976.

The previous prime is 448714801085029. The next prime is 448714801085081. The reversal of 448714801085040 is 40580108417844.

448714801085040 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 1 + 480 + 108 + 50 + 4 + 0 = 666.

It is a super-2 number, since 2×448714801085040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 427618936 + ... + 428666984.

It is an arithmetic number, because the mean of its divisors is an integer number (2007074440800).

Almost surely, 2^{448714801085040} is an apocalyptic number.

448714801085040 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 448714801085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963395731584000).

448714801085040 is an abundant number, since it is smaller than the sum of its proper divisors (1478076662082960).

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

448714801085040 is a wasteful number, since it uses less digits than its factorization.

448714801085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048374 (or 1048365 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 448714801085040 in words is "four hundred forty-eight trillion, seven hundred fourteen billion, eight hundred one million, eighty-five thousand, forty".