449149847040 has 1120 divisors, whose sum is σ = 1717998210720. Its totient is φ = 112368549888.

The previous prime is 449149847023. The next prime is 449149847059. The reversal of 449149847040 is 40748941944.

It is a happy number.

449149847040 is a `hidden beast` number, since 4 + 4 + 91 + 49 + 8 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2327201184 + ... + 2327201376.

Almost surely, 2^449149847040 is an apocalyptic number.

449149847040 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 449149847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858999105360).

449149847040 is an abundant number, since it is smaller than the sum of its proper divisors (1268848363680).

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

449149847040 is an equidigital number, since it uses as much as digits as its factorization.

449149847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 449149847040 in words is "four hundred forty-nine billion, one hundred forty-nine million, eight hundred forty-seven thousand, forty".