4400004040440 has 128 divisors (see below), whose sum is σ = 13690996038720. Its totient is φ = 1130319360000.

The previous prime is 4400004040363. The next prime is 4400004040469. The reversal of 4400004040440 is 440404000044.

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 4400004040440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4457461 + ... + 5354340.

Almost surely, 2^{4400004040440} is an apocalyptic number.

4400004040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400004040440 is an abundant number, since it is smaller than the sum of its proper divisors (9290991998280).

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

4400004040440 is a wasteful number, since it uses less digits than its factorization.

4400004040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811953 (or 9811949 counting only the distinct ones).

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

Adding to 4400004040440 its reverse (440404000044), we get a palindrome (4840408040484).

The spelling of 4400004040440 in words is "four trillion, four hundred billion, four million, forty thousand, four hundred forty".