449141928480 has 1440 divisors, whose sum is σ = 1980647133696. Its totient is φ = 93807673344.

The previous prime is 449141928439. The next prime is 449141928523. The reversal of 449141928480 is 84829141944.

449141928480 is a `hidden beast` number, since 44 + 91 + 4 + 19 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×449141928480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 970068729 + ... + 970069191.

Almost surely, 2^449141928480 is an apocalyptic number.

449141928480 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 449141928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990323566848).

449141928480 is an abundant number, since it is smaller than the sum of its proper divisors (1531505205216).

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

449141928480 is a wasteful number, since it uses less digits than its factorization.

449141928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 449141928480 in words is "four hundred forty-nine billion, one hundred forty-one million, nine hundred twenty-eight thousand, four hundred eighty".