448942881024 has 729 divisors, whose sum is σ = 1509535503931. Its totient is φ = 133148759040.

The previous prime is 448942881017. The next prime is 448942881083. The reversal of 448942881024 is 420188249844.

The square root of 448942881024 is 670032.

It is a perfect power (a square), and thus also a powerful number.

448942881024 is a `hidden beast` number, since 44 + 89 + 428 + 81 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9551976169 + ... + 9551976215.

Almost surely, 2^448942881024 is an apocalyptic number.

448942881024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

448942881024 is the 670032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448942881024

448942881024 is an abundant number, since it is smaller than the sum of its proper divisors (1060592622907).

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

448942881024 is an frugal number, since it uses more digits than its factorization.

448942881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 448942881024 in words is "four hundred forty-eight billion, nine hundred forty-two million, eight hundred eighty-one thousand, twenty-four".