449260050183840 has 2304 divisors, whose sum is σ = 1964041307504640. Its totient is φ = 94643271106560.

The previous prime is 449260050183839. The next prime is 449260050183947. The reversal of 449260050183840 is 48381050062944.

449260050183840 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 60 + 0 + 501 + 8 + 38 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73976623044 + ... + 73976629116.

It is an arithmetic number, because the mean of its divisors is an integer number (852448484160).

Almost surely, 2^{449260050183840} is an apocalyptic number.

449260050183840 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 449260050183840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982020653752320).

449260050183840 is an abundant number, since it is smaller than the sum of its proper divisors (1514781257320800).

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

449260050183840 is a wasteful number, since it uses less digits than its factorization.

449260050183840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 449260050183840 in words is "four hundred forty-nine trillion, two hundred sixty billion, fifty million, one hundred eighty-three thousand, eight hundred forty".