449116121070 has 384 divisors, whose sum is σ = 1255971225600. Its totient is φ = 115427410560.

The previous prime is 449116121057. The next prime is 449116121071. The reversal of 449116121070 is 70121611944.

449116121070 is a `hidden beast` number, since 4 + 491 + 1 + 61 + 2 + 107 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449116121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2256864831 + ... + 2256865029.

It is an arithmetic number, because the mean of its divisors is an integer number (3270758400).

Almost surely, 2^449116121070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449116121070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627985612800).

449116121070 is an abundant number, since it is smaller than the sum of its proper divisors (806855104530).

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

449116121070 is a wasteful number, since it uses less digits than its factorization.

449116121070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 449116121070 in words is "four hundred forty-nine billion, one hundred sixteen million, one hundred twenty-one thousand, seventy".