4144959516672 has 520 divisors, whose sum is σ = 13393794765120. Its totient is φ = 1269720023040.

The previous prime is 4144959516667. The next prime is 4144959516683. The reversal of 4144959516672 is 2766159594414.

4144959516672 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 9 + 59 + 516 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1030826022 + ... + 1030830042.

Almost surely, 2^{4144959516672} 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 4144959516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696897382560).

4144959516672 is an abundant number, since it is smaller than the sum of its proper divisors (9248835248448).

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

4144959516672 is a wasteful number, since it uses less digits than its factorization.

4144959516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4278 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 4144959516672 in words is "four trillion, one hundred forty-four billion, nine hundred fifty-nine million, five hundred sixteen thousand, six hundred seventy-two".