1449400168224 has 192 divisors, whose sum is σ = 4244733521280. Its totient is φ = 481158558720.

The previous prime is 1449400168213. The next prime is 1449400168243. The reversal of 1449400168224 is 4228610049441.

1449400168224 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 400 + 16 + 8 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1449400168224.

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 31 ways as a sum of consecutive naturals, for example, 233884294 + ... + 233890490.

It is an arithmetic number, because the mean of its divisors is an integer number (22107987090).

Almost surely, 2^{1449400168224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1449400168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122366760640).

1449400168224 is an abundant number, since it is smaller than the sum of its proper divisors (2795333353056).

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

1449400168224 is a wasteful number, since it uses less digits than its factorization.

1449400168224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1449400168224 in words is "one trillion, four hundred forty-nine billion, four hundred million, one hundred sixty-eight thousand, two hundred twenty-four".