449839104000 has 768 divisors, whose sum is σ = 1758789002880. Its totient is φ = 100663296000.

The previous prime is 449839103993. The next prime is 449839104007. The reversal of 449839104000 is 401938944.

It is an interprime number because it is at equal distance from previous prime (449839103993) and next prime (449839104007).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449839104007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34603007994 + ... + 34603008006.

Almost surely, 2^449839104000 is an apocalyptic number.

449839104000 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 449839104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879394501440).

449839104000 is an abundant number, since it is smaller than the sum of its proper divisors (1308949898880).

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

449839104000 is an frugal number, since it uses more digits than its factorization.

449839104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 449839104000 in words is "four hundred forty-nine billion, eight hundred thirty-nine million, one hundred four thousand".