449038137870400 has 189 divisors, whose sum is σ = 1196475204678663. Its totient is φ = 165794628480000.

The previous prime is 449038137870383. The next prime is 449038137870419. The reversal of 449038137870400 is 4078731830944.

The square root of 449038137870400 is 21190520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 115740244293696 + 333297893576704 = 10758264^2 + 18256448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11019050025 + ... + 11019090775.

Almost surely, 2^{449038137870400} is an apocalyptic number.

449038137870400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

449038137870400 is the 21190520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449038137870400

449038137870400 is an abundant number, since it is smaller than the sum of its proper divisors (747437066808263).

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

449038137870400 is an frugal number, since it uses more digits than its factorization.

449038137870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81550 (or 40771 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 449038137870400 in words is "four hundred forty-nine trillion, thirty-eight billion, one hundred thirty-seven million, eight hundred seventy thousand, four hundred".