4044404014020 has 192 divisors, whose sum is σ = 13041482630400. Its totient is φ = 1039317027840.

The previous prime is 4044404013931. The next prime is 4044404014031. The reversal of 4044404014020 is 204104044404.

4044404014020 is a `hidden beast` number, since 40 + 4 + 440 + 40 + 140 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7911007 + ... + 8406713.

It is an arithmetic number, because the mean of its divisors is an integer number (67924388700).

Almost surely, 2^{4044404014020} 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 4044404014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520741315200).

4044404014020 is an abundant number, since it is smaller than the sum of its proper divisors (8997078616380).

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

4044404014020 is a wasteful number, since it uses less digits than its factorization.

4044404014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496275 (or 496267 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4044404014020 its reverse (204104044404), we get a palindrome (4248508058424).

The spelling of 4044404014020 in words is "four trillion, forty-four billion, four hundred four million, fourteen thousand, twenty".