449726019886080 has 1408 divisors, whose sum is σ = 1945872514252800. Its totient is φ = 96210649939968.

The previous prime is 449726019886079. The next prime is 449726019886211. The reversal of 449726019886080 is 80688910627944.

449726019886080 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 2 + 6 + 0 + 1 + 9 + 8 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1525884009 + ... + 1526178711.

Almost surely, 2^{449726019886080} is an apocalyptic number.

449726019886080 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 449726019886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972936257126400).

449726019886080 is an abundant number, since it is smaller than the sum of its proper divisors (1496146494366720).

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

449726019886080 is a wasteful number, since it uses less digits than its factorization.

449726019886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294846 (or 294822 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 449726019886080 in words is "four hundred forty-nine trillion, seven hundred twenty-six billion, nineteen million, eight hundred eighty-six thousand, eighty".