448363615440 has 320 divisors, whose sum is σ = 1596488818176. Its totient is φ = 103114407936.

The previous prime is 448363615439. The next prime is 448363615481. The reversal of 448363615440 is 44516363844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448363615440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7235629 + ... + 7297331.

Almost surely, 2^448363615440 is an apocalyptic number.

448363615440 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 448363615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798244409088).

448363615440 is an abundant number, since it is smaller than the sum of its proper divisors (1148125202736).

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

448363615440 is a wasteful number, since it uses less digits than its factorization.

448363615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61886 (or 61880 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 448363615440 in words is "four hundred forty-eight billion, three hundred sixty-three million, six hundred fifteen thousand, four hundred forty".