4004444000040 has 64 divisors (see below), whose sum is σ = 13105453095360. Its totient is φ = 970774302720.

The previous prime is 4004443999981. The next prime is 4004444000047. The reversal of 4004444000040 is 400004444004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4004444000047) 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, 1516833529 + ... + 1516836168.

It is an arithmetic number, because the mean of its divisors is an integer number (204772704615).

Almost surely, 2^{4004444000040} is an apocalyptic number.

4004444000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004444000040 is an abundant number, since it is smaller than the sum of its proper divisors (9101009095320).

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

4004444000040 is a wasteful number, since it uses less digits than its factorization.

4004444000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033669722 (or 3033669718 counting only the distinct ones).

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

Adding to 4004444000040 its reverse (400004444004), we get a palindrome (4404448444044).

The spelling of 4004444000040 in words is "four trillion, four billion, four hundred forty-four million, forty", and thus it is an aban number.