449166393123840 has 2112 divisors, whose sum is σ = 1961579121016320. Its totient is φ = 98200079695872.

The previous prime is 449166393123797. The next prime is 449166393123853. The reversal of 449166393123840 is 48321393661944.

It is a happy number.

449166393123840 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 6 + 6 + 393 + 1 + 238 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 12619497084 + ... + 12619532676.

Almost surely, 2^{449166393123840} is an apocalyptic number.

449166393123840 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 449166393123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980789560508160).

449166393123840 is an abundant number, since it is smaller than the sum of its proper divisors (1512412727892480).

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

449166393123840 is an equidigital number, since it uses as much as digits as its factorization.

449166393123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35676 (or 35633 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 449166393123840 in words is "four hundred forty-nine trillion, one hundred sixty-six billion, three hundred ninety-three million, one hundred twenty-three thousand, eight hundred forty".