449078716944 has 320 divisors, whose sum is σ = 1563233280000. Its totient is φ = 121563763200.

The previous prime is 449078716937. The next prime is 449078716951. The reversal of 449078716944 is 449617870944.

449078716944 is a `hidden beast` number, since 4 + 490 + 7 + 87 + 1 + 69 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (449078716937) and next prime (449078716951).

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 63 ways as a sum of consecutive naturals, for example, 1797807 + ... + 2032305.

It is an arithmetic number, because the mean of its divisors is an integer number (4885104000).

Almost surely, 2^449078716944 is an apocalyptic number.

449078716944 is a gapful number since it is divisible by the number (44) 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 449078716944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781616640000).

449078716944 is an abundant number, since it is smaller than the sum of its proper divisors (1114154563056).

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

449078716944 is a wasteful number, since it uses less digits than its factorization.

449078716944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234571 (or 234559 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 449078716944 in words is "four hundred forty-nine billion, seventy-eight million, seven hundred sixteen thousand, nine hundred forty-four".