449965700835840 has 960 divisors, whose sum is σ = 1808351459456256. Its totient is φ = 101273302204416.

The previous prime is 449965700835839. The next prime is 449965700835841. The reversal of 449965700835840 is 48538007569944.

449965700835840 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 6 + 570 + 0 + 8 + 3 + 5 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (449965700835839) and next prime (449965700835841).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (449965700835841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7217087547 + ... + 7217149893.

Almost surely, 2^{449965700835840} is an apocalyptic number.

449965700835840 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 449965700835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904175729728128).

449965700835840 is an abundant number, since it is smaller than the sum of its proper divisors (1358385758620416).

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

449965700835840 is a wasteful number, since it uses less digits than its factorization.

449965700835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63069 (or 63050 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 449965700835840 in words is "four hundred forty-nine trillion, nine hundred sixty-five billion, seven hundred million, eight hundred thirty-five thousand, eight hundred forty".