449971200000 has 1680 divisors, whose sum is σ = 1982216130048. Its totient is φ = 99532800000.

The previous prime is 449971199999. The next prime is 449971200071. The reversal of 449971200000 is 2179944.

449971200000 is a `hidden beast` number, since 449 + 9 + 7 + 1 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14515199985 + ... + 14515200015.

Almost surely, 2^449971200000 is an apocalyptic number.

449971200000 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 449971200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991108065024).

449971200000 is an abundant number, since it is smaller than the sum of its proper divisors (1532244930048).

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

449971200000 is an frugal number, since it uses more digits than its factorization.

449971200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 449971200000 its reverse (2179944), we get a palindrome (449973379944).

The spelling of 449971200000 in words is "four hundred forty-nine billion, nine hundred seventy-one million, two hundred thousand".