448632040000 has 315 divisors, whose sum is σ = 1187779103863. Its totient is φ = 168039424000.

The previous prime is 448632039971. The next prime is 448632040013. The reversal of 448632040000 is 40236844.

The square root of 448632040000 is 669800.

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

It can be written as a sum of positive squares in 22 ways, for example, as 282402965056 + 166229074944 = 531416^2 + 407712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2277319902 + ... + 2277320098.

Almost surely, 2^448632040000 is an apocalyptic number.

448632040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

448632040000 is the 669800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448632040000

448632040000 is an abundant number, since it is smaller than the sum of its proper divisors (739147063863).

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

448632040000 is an frugal number, since it uses more digits than its factorization.

448632040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 448632040000 its reverse (40236844), we get a palindrome (448672276844).

The spelling of 448632040000 in words is "four hundred forty-eight billion, six hundred thirty-two million, forty thousand".