449371240557120 has 672 divisors, whose sum is σ = 1783460512124928. Its totient is φ = 101725260926976.

The previous prime is 449371240557101. The next prime is 449371240557133. The reversal of 449371240557120 is 21755042173944.

449371240557120 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 7 + 1 + 2 + 40 + 5 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8332927597 + ... + 8332981523.

It is an arithmetic number, because the mean of its divisors is an integer number (2653959095424).

Almost surely, 2^{449371240557120} is an apocalyptic number.

449371240557120 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 449371240557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891730256062464).

449371240557120 is an abundant number, since it is smaller than the sum of its proper divisors (1334089271567808).

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

449371240557120 is a wasteful number, since it uses less digits than its factorization.

449371240557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57927 (or 57914 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 449371240557120 in words is "four hundred forty-nine trillion, three hundred seventy-one billion, two hundred forty million, five hundred fifty-seven thousand, one hundred twenty".