449868349440 has 720 divisors, whose sum is σ = 1671714670080. Its totient is φ = 116095057920.

The previous prime is 449868349439. The next prime is 449868349453. The reversal of 449868349440 is 44943868944.

449868349440 is a `hidden beast` number, since 4 + 4 + 98 + 68 + 3 + 49 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14511882225 + ... + 14511882255.

Almost surely, 2^449868349440 is an apocalyptic number.

449868349440 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 449868349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835857335040).

449868349440 is an abundant number, since it is smaller than the sum of its proper divisors (1221846320640).

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

449868349440 is an frugal number, since it uses more digits than its factorization.

449868349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 449868349440 in words is "four hundred forty-nine billion, eight hundred sixty-eight million, three hundred forty-nine thousand, four hundred forty".