4004041431444 has 12 divisors (see below), whose sum is σ = 9342763340064. Its totient is φ = 1334680477144.

The previous prime is 4004041431421. The next prime is 4004041431457. The reversal of 4004041431444 is 4441341404004.

4004041431444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×4004041431444³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166835059632 + ... + 166835059655.

It is an arithmetic number, because the mean of its divisors is an integer number (778563611672).

Almost surely, 2^{4004041431444} is an apocalyptic number.

It is an amenable number.

4004041431444 is an abundant number, since it is smaller than the sum of its proper divisors (5338721908620).

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

4004041431444 is a wasteful number, since it uses less digits than its factorization.

4004041431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333670119294 (or 333670119292 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4004041431444 its reverse (4441341404004), we get a palindrome (8445382835448).

The spelling of 4004041431444 in words is "four trillion, four billion, forty-one million, four hundred thirty-one thousand, four hundred forty-four".