4004404804440 has 48 divisors (see below), whose sum is σ = 13014315615600. Its totient is φ = 1067841281088.

The previous prime is 4004404804427. The next prime is 4004404804471. The reversal of 4004404804440 is 444084044004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4004404804395 and 4004404804404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5561672980 + ... + 5561673699.

It is an arithmetic number, because the mean of its divisors is an integer number (271131575325).

Almost surely, 2^{4004404804440} is an apocalyptic number.

4004404804440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004404804440 is an abundant number, since it is smaller than the sum of its proper divisors (9009910811160).

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

4004404804440 is a wasteful number, since it uses less digits than its factorization.

4004404804440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123346696 (or 11123346689 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4004404804440 its reverse (444084044004), we get a palindrome (4448488848444).

The spelling of 4004404804440 in words is "four trillion, four billion, four hundred four million, eight hundred four thousand, four hundred forty".