4404040440000 has 280 divisors, whose sum is σ = 14954335118448. Its totient is φ = 1142668800000.

The previous prime is 4404040439999. The next prime is 4404040440017. The reversal of 4404040440000 is 440404044.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3944050 + ... + 4935950.

Almost surely, 2^{4404040440000} is an apocalyptic number.

4404040440000 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 4404040440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477167559224).

4404040440000 is an abundant number, since it is smaller than the sum of its proper divisors (10550294678448).

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

4404040440000 is an equidigital number, since it uses as much as digits as its factorization.

4404040440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991973 (or 991948 counting only the distinct ones).

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

Adding to 4404040440000 its reverse (440404044), we get a palindrome (4404480844044).

4404040440000 divided by its reverse (440404044) gives a 4-th power (10000 = 10⁴).

The spelling of 4404040440000 in words is "four trillion, four hundred four billion, forty million, four hundred forty thousand".