449521712640 has 2560 divisors, whose sum is σ = 2197659340800. Its totient is φ = 84085309440.

The previous prime is 449521712639. The next prime is 449521712683. The reversal of 449521712640 is 46217125944.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 5050805716 + ... + 5050805804.

It is an arithmetic number, because the mean of its divisors is an integer number (858460680).

Almost surely, 2^449521712640 is an apocalyptic number.

449521712640 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 449521712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098829670400).

449521712640 is an abundant number, since it is smaller than the sum of its proper divisors (1748137628160).

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

449521712640 is a wasteful number, since it uses less digits than its factorization.

449521712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 449521712640 in words is "four hundred forty-nine billion, five hundred twenty-one million, seven hundred twelve thousand, six hundred forty".