449111871250560 has 4096 divisors, whose sum is σ = 2035626511564800. Its totient is φ = 91224916623360.

The previous prime is 449111871250489. The next prime is 449111871250589. The reversal of 449111871250560 is 65052178111944.

It is a happy number.

449111871250560 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 1 + 1 + 8 + 71 + 2 + 5 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 449111871250497 and 449111871250506.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1037209864104 + ... + 1037209864536.

It is an arithmetic number, because the mean of its divisors is an integer number (496979128800).

Almost surely, 2^{449111871250560} is an apocalyptic number.

449111871250560 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 449111871250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017813255782400).

449111871250560 is an abundant number, since it is smaller than the sum of its proper divisors (1586514640314240).

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

449111871250560 is a wasteful number, since it uses less digits than its factorization.

449111871250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 449111871250560 in words is "four hundred forty-nine trillion, one hundred eleven billion, eight hundred seventy-one million, two hundred fifty thousand, five hundred sixty".