449038325221200 has 2880 divisors, whose sum is σ = 2013968377774080. Its totient is φ = 91032201216000.

The previous prime is 449038325221091. The next prime is 449038325221207. The reversal of 449038325221200 is 2122523830944.

449038325221200 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 383 + 2 + 52 + 212 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449038325221207) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17251449786 + ... + 17251475814.

It is an arithmetic number, because the mean of its divisors is an integer number (699294575616).

Almost surely, 2^{449038325221200} is an apocalyptic number.

449038325221200 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 449038325221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006984188887040).

449038325221200 is an abundant number, since it is smaller than the sum of its proper divisors (1564930052552880).

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

449038325221200 is a wasteful number, since it uses less digits than its factorization.

449038325221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26178 (or 26164 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 449038325221200 in words is "four hundred forty-nine trillion, thirty-eight billion, three hundred twenty-five million, two hundred twenty-one thousand, two hundred".