1414448160 has 192 divisors, whose sum is σ = 4842270720. Its totient is φ = 345738240.

The previous prime is 1414448159. The next prime is 1414448177. The reversal of 1414448160 is 618444141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280219 + ... + 285221.

It is an arithmetic number, because the mean of its divisors is an integer number (25220160).

Almost surely, 2^1414448160 is an apocalyptic number.

1414448160 is a gapful number since it is divisible by the number (10) 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 1414448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421135360).

1414448160 is an abundant number, since it is smaller than the sum of its proper divisors (3427822560).

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

1414448160 is a wasteful number, since it uses less digits than its factorization.

1414448160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1414448160 is about 37609.1499505107. The cubic root of 1414448160 is about 1122.5241116310.

The spelling of 1414448160 in words is "one billion, four hundred fourteen million, four hundred forty-eight thousand, one hundred sixty".