449143168320 has 1792 divisors, whose sum is σ = 2085709824000. Its totient is φ = 88221450240.

The previous prime is 449143168301. The next prime is 449143168321. The reversal of 449143168320 is 23861341944.

449143168320 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 4 + 316 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449143168321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2279914462 + ... + 2279914658.

Almost surely, 2^449143168320 is an apocalyptic number.

449143168320 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 449143168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042854912000).

449143168320 is an abundant number, since it is smaller than the sum of its proper divisors (1636566655680).

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

449143168320 is a wasteful number, since it uses less digits than its factorization.

449143168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 449143168320 in words is "four hundred forty-nine billion, one hundred forty-three million, one hundred sixty-eight thousand, three hundred twenty".