4144738074468 has 96 divisors (see below), whose sum is σ = 9923132819712. Its totient is φ = 1345680691200.

The previous prime is 4144738074467. The next prime is 4144738074473. The reversal of 4144738074468 is 8644708374414.

It is not an unprimeable number, because it can be changed into a prime (4144738074467) by changing a digit.

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, 1092731580 + ... + 1092735372.

It is an arithmetic number, because the mean of its divisors is an integer number (103365966872).

Almost surely, 2^{4144738074468} is an apocalyptic number.

It is an amenable number.

4144738074468 is an abundant number, since it is smaller than the sum of its proper divisors (5778394745244).

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

4144738074468 is a wasteful number, since it uses less digits than its factorization.

4144738074468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 4144738074468 in words is "four trillion, one hundred forty-four billion, seven hundred thirty-eight million, seventy-four thousand, four hundred sixty-eight".