449264530391040 has 5120 divisors, whose sum is σ = 2133217978214400. Its totient is φ = 87766717169664.

The previous prime is 449264530390987. The next prime is 449264530391041. The reversal of 449264530391040 is 40193035462944.

It is a happy number.

449264530391040 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 64 + 530 + 3 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

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

It is not an unprimeable number, because it can be changed into a prime (449264530391041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1621893611382 + ... + 1621893611658.

It is an arithmetic number, because the mean of its divisors is an integer number (416644136370).

Almost surely, 2^{449264530391040} is an apocalyptic number.

449264530391040 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 449264530391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066608989107200).

449264530391040 is an abundant number, since it is smaller than the sum of its proper divisors (1683953447823360).

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

449264530391040 is a wasteful number, since it uses less digits than its factorization.

449264530391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 449264530391040 in words is "four hundred forty-nine trillion, two hundred sixty-four billion, five hundred thirty million, three hundred ninety-one thousand, forty".