4000404440444 has 48 divisors (see below), whose sum is σ = 7163748472608. Its totient is φ = 1954199467008.

The previous prime is 4000404440441. The next prime is 4000404440453. The reversal of 4000404440444 is 4440444040004.

It is a super-3 number, since 3×4000404440444³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4000404440444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000404440441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18574802 + ... + 18788934.

It is an arithmetic number, because the mean of its divisors is an integer number (149244759846).

Almost surely, 2^{4000404440444} is an apocalyptic number.

It is an amenable number.

4000404440444 is a deficient number, since it is larger than the sum of its proper divisors (3163344032164).

4000404440444 is a wasteful number, since it uses less digits than its factorization.

4000404440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214814 (or 214812 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4000404440444 its reverse (4440444040004), we get a palindrome (8440848480448).

It can be divided in two parts, 400040 and 4440444, that added together give a palindrome (4840484).

The spelling of 4000404440444 in words is "four trillion, four hundred four million, four hundred forty thousand, four hundred forty-four".