4400004400004 has 24 divisors (see below), whose sum is σ = 7709477790168. Its totient is φ = 2197297578240.

The previous prime is 4400004399997. The next prime is 4400004400009. The reversal of 4400004400004 is 4000044000044.

It can be written as a sum of positive squares in 4 ways, for example, as 1467683790400 + 2932320609604 = 1211480^2 + 1712402^2 .

It is a super-3 number, since 3×4400004400004³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4400004400009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15882434 + ... + 16157094.

It is an arithmetic number, because the mean of its divisors is an integer number (321228241257).

Almost surely, 2^{4400004400004} is an apocalyptic number.

It is an amenable number.

4400004400004 is a deficient number, since it is larger than the sum of its proper divisors (3309473390164).

4400004400004 is a wasteful number, since it uses less digits than its factorization.

4400004400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279575 (or 279573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4400004400004 its reverse (4000044000044), we get a palindrome (8400048400048).

The spelling of 4400004400004 in words is "four trillion, four hundred billion, four million, four hundred thousand, four".