449388883944 has 1536 divisors, whose sum is σ = 1858595880960. Its totient is φ = 94158028800.

The previous prime is 449388883913. The next prime is 449388883963.

449388883944 is a `hidden beast` number, since 449 + 38 + 8 + 88 + 39 + 44 = 666.

449388883944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1042665409 + ... + 1042665839.

It is an arithmetic number, because the mean of its divisors is an integer number (1210023360).

Almost surely, 2^449388883944 is an apocalyptic number.

449388883944 is a gapful number since it is divisible by the number (44) 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 449388883944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929297940480).

449388883944 is an abundant number, since it is smaller than the sum of its proper divisors (1409206997016).

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

449388883944 is a wasteful number, since it uses less digits than its factorization.

449388883944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 449388883944 in words is "four hundred forty-nine billion, three hundred eighty-eight million, eight hundred eighty-three thousand, nine hundred forty-four".