4004000444004 has 48 divisors (see below), whose sum is σ = 10232606797056. Its totient is φ = 1208499460000.

The previous prime is 4004000443991. The next prime is 4004000444027. The reversal of 4004000444004 is 4004440004004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60391842 + ... + 60458105.

It is an arithmetic number, because the mean of its divisors is an integer number (213179308272).

Almost surely, 2^{4004000444004} is an apocalyptic number.

4004000444004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004000444004 is an abundant number, since it is smaller than the sum of its proper divisors (6228606353052).

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

4004000444004 is a wasteful number, since it uses less digits than its factorization.

4004000444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120850216 (or 120850214 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4004000444004 its reverse (4004440004004), we get a palindrome (8008440448008).

The spelling of 4004000444004 in words is "four trillion, four billion, four hundred forty-four thousand, four".