448595556640 has 864 divisors, whose sum is σ = 1466858574720. Its totient is φ = 128095027200.

The previous prime is 448595556611. The next prime is 448595556641. The reversal of 448595556640 is 46655595844.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (448595556641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1021857541 + ... + 1021857979.

It is an arithmetic number, because the mean of its divisors is an integer number (1697752980).

Almost surely, 2^448595556640 is an apocalyptic number.

448595556640 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 448595556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733429287360).

448595556640 is an abundant number, since it is smaller than the sum of its proper divisors (1018263018080).

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

448595556640 is a wasteful number, since it uses less digits than its factorization.

448595556640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 61.

The spelling of 448595556640 in words is "four hundred forty-eight billion, five hundred ninety-five million, five hundred fifty-six thousand, six hundred forty".