4004400044040 has 96 divisors (see below), whose sum is σ = 13204591928640. Its totient is φ = 970763643520.

The previous prime is 4004400043981. The next prime is 4004400044081. The reversal of 4004400044040 is 404400044004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4004400044040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137878044 + ... + 137907083.

It is an arithmetic number, because the mean of its divisors is an integer number (137547832590).

Almost surely, 2^{4004400044040} is an apocalyptic number.

4004400044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004400044040 is an abundant number, since it is smaller than the sum of its proper divisors (9200191884600).

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

4004400044040 is a wasteful number, since it uses less digits than its factorization.

4004400044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275785163 (or 275785148 counting only the distinct ones).

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

Adding to 4004400044040 its reverse (404400044004), we get a palindrome (4408800088044).

The spelling of 4004400044040 in words is "four trillion, four billion, four hundred million, forty-four thousand, forty".