449940234240 has 2016 divisors, whose sum is σ = 2049348159360. Its totient is φ = 93194551296.

The previous prime is 449940234209. The next prime is 449940234253. The reversal of 449940234240 is 42432049944.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19562618869 + ... + 19562618891.

Almost surely, 2^449940234240 is an apocalyptic number.

449940234240 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 449940234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024674079680).

449940234240 is an abundant number, since it is smaller than the sum of its proper divisors (1599407925120).

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

449940234240 is a wasteful number, since it uses less digits than its factorization.

449940234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 449940234240 in words is "four hundred forty-nine billion, nine hundred forty million, two hundred thirty-four thousand, two hundred forty".