1344006144 has 288 divisors, whose sum is σ = 4292870400. Its totient is φ = 402554880.

The previous prime is 1344006143. The next prime is 1344006161. The reversal of 1344006144 is 4416004431.

1344006144 is a `hidden beast` number, since 1 + 3 + 4 + 40 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1344006143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17012697 + ... + 17012775.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^1344006144 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 1344006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1344006144 is an abundant number, since it is smaller than the sum of its proper divisors (2948864256).

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

1344006144 is a wasteful number, since it uses less digits than its factorization.

1344006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1344006144 is about 36660.6893552208. The cubic root of 1344006144 is about 1103.5713521799.

The spelling of 1344006144 in words is "one billion, three hundred forty-four million, six thousand, one hundred forty-four".