448704060189840 has 1800 divisors, whose sum is σ = 1962961976345832. Its totient is φ = 94157431603200.

The previous prime is 448704060189809. The next prime is 448704060189911. The reversal of 448704060189840 is 48981060407844.

448704060189840 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 0 + 406 + 0 + 189 + 8 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 54218191104 + 448649841998736 = 232848^2 + 21181356^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 160194236440 + ... + 160194239240.

Almost surely, 2^{448704060189840} is an apocalyptic number.

448704060189840 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 448704060189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981480988172916).

448704060189840 is an abundant number, since it is smaller than the sum of its proper divisors (1514257916155992).

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

448704060189840 is a wasteful number, since it uses less digits than its factorization.

448704060189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 448704060189840 in words is "four hundred forty-eight trillion, seven hundred four billion, sixty million, one hundred eighty-nine thousand, eight hundred forty".