4044824011872 has 288 divisors, whose sum is σ = 13965064049664. Its totient is φ = 1127476454400.

The previous prime is 4044824011853. The next prime is 4044824011901. The reversal of 4044824011872 is 2781104284404.

4044824011872 is a `hidden beast` number, since 4 + 0 + 448 + 24 + 0 + 1 + 187 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325497 + ... + 3137927.

It is an arithmetic number, because the mean of its divisors is an integer number (48489805728).

Almost surely, 2^{4044824011872} is an apocalyptic number.

4044824011872 is a gapful number since it is divisible by the number (42) 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 4044824011872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982532024832).

4044824011872 is an abundant number, since it is smaller than the sum of its proper divisors (9920240037792).

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

4044824011872 is a wasteful number, since it uses less digits than its factorization.

4044824011872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812504 (or 1812484 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 4044824011872 in words is "four trillion, forty-four billion, eight hundred twenty-four million, eleven thousand, eight hundred seventy-two".