4040440004400 has 240 divisors, whose sum is σ = 13296412975104. Its totient is φ = 1048036285440.

The previous prime is 4040440004383. The next prime is 4040440004401. The reversal of 4040440004400 is 44000440404.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4040440004401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190154577 + ... + 190175823.

Almost surely, 2^{4040440004400} is an apocalyptic number.

4040440004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040440004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648206487552).

4040440004400 is an abundant number, since it is smaller than the sum of its proper divisors (9255972970704).

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

4040440004400 is a wasteful number, since it uses less digits than its factorization.

4040440004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25588 (or 25577 counting only the distinct ones).

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

Adding to 4040440004400 its reverse (44000440404), we get a palindrome (4084440444804).

It can be divided in two parts, 4040440004 and 400, that added together give a palindrome (4040440404).

The spelling of 4040440004400 in words is "four trillion, forty billion, four hundred forty million, four thousand, four hundred".