448939814400 has 2160 divisors, whose sum is σ = 2084484834432. Its totient is φ = 90265190400.

The previous prime is 448939814399. The next prime is 448939814471. The reversal of 448939814400 is 4418939844.

448939814400 is a `hidden beast` number, since 44 + 89 + 3 + 9 + 81 + 440 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 4195699147 + ... + 4195699253.

Almost surely, 2^448939814400 is an apocalyptic number.

448939814400 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 448939814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042242417216).

448939814400 is an abundant number, since it is smaller than the sum of its proper divisors (1635545020032).

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

448939814400 is a wasteful number, since it uses less digits than its factorization.

448939814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 448939814400 in words is "four hundred forty-eight billion, nine hundred thirty-nine million, eight hundred fourteen thousand, four hundred".