448204780800 has 1296 divisors, whose sum is σ = 1893133831680. Its totient is φ = 99058728960.

The previous prime is 448204780783. The next prime is 448204780811. The reversal of 448204780800 is 8087402844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1974470287 + ... + 1974470513.

Almost surely, 2^448204780800 is an apocalyptic number.

448204780800 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 448204780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946566915840).

448204780800 is an abundant number, since it is smaller than the sum of its proper divisors (1444929050880).

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

448204780800 is a wasteful number, since it uses less digits than its factorization.

448204780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 448204780800 in words is "four hundred forty-eight billion, two hundred four million, seven hundred eighty thousand, eight hundred".