449213671428480 has 768 divisors, whose sum is σ = 1959580109073600. Its totient is φ = 96637559832576.

The previous prime is 449213671428451. The next prime is 449213671428547. The reversal of 449213671428480 is 84824176312944.

449213671428480 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 1 + 3 + 6 + 7 + 142 + 8 + 480 = 666.

It is a super-2 number, since 2×449213671428480² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1209699 + ... + 29998178.

Almost surely, 2^{449213671428480} is an apocalyptic number.

449213671428480 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 449213671428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979790054536800).

449213671428480 is an abundant number, since it is smaller than the sum of its proper divisors (1510366437645120).

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

449213671428480 is a wasteful number, since it uses less digits than its factorization.

449213671428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31207936 (or 31207911 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 449213671428480 in words is "four hundred forty-nine trillion, two hundred thirteen billion, six hundred seventy-one million, four hundred twenty-eight thousand, four hundred eighty".