4289144120064 has 576 divisors, whose sum is σ = 13308665180160. Its totient is φ = 1377956966400.

The previous prime is 4289144120003. The next prime is 4289144120081. The reversal of 4289144120064 is 4600214419824.

4289144120064 is a `hidden beast` number, since 42 + 8 + 91 + 441 + 20 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7306889179 + ... + 7306889765.

Almost surely, 2^{4289144120064} 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 4289144120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654332590080).

4289144120064 is an abundant number, since it is smaller than the sum of its proper divisors (9019521060096).

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

4289144120064 is an frugal number, since it uses more digits than its factorization.

4289144120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1044 counting only the distinct ones).

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

Adding to 4289144120064 its reverse (4600214419824), we get a palindrome (8889358539888).

The spelling of 4289144120064 in words is "four trillion, two hundred eighty-nine billion, one hundred forty-four million, one hundred twenty thousand, sixty-four".