449596132440 has 768 divisors, whose sum is σ = 1780981171200. Its totient is φ = 88393089024.

The previous prime is 449596132421. The next prime is 449596132483. The reversal of 449596132440 is 44231695944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343990267 + ... + 343991573.

It is an arithmetic number, because the mean of its divisors is an integer number (2318985900).

Almost surely, 2^449596132440 is an apocalyptic number.

449596132440 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 449596132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890490585600).

449596132440 is an abundant number, since it is smaller than the sum of its proper divisors (1331385038760).

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

449596132440 is a wasteful number, since it uses less digits than its factorization.

449596132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 449596132440 in words is "four hundred forty-nine billion, five hundred ninety-six million, one hundred thirty-two thousand, four hundred forty".